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Finding the Third Proportional to 262,853,514.75 and 560,888,614.88

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Solution

The third proportional to 262,853,514.75 and 560,888,614.88 is: 1,196,849,274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,853,514.75 : 560,888,614.88 = 560,888,614.88 : x
  2. Step 2: Convert to fraction form
    262,853,514.75/560,888,614.88 = 560,888,614.88/x
  3. Step 3: Cross multiply
    262,853,514.75x = 560,888,614.88 × 560,888,614.88
  4. Step 4: Simplify right side
    262,853,514.75x = 314,596,038,296,396,096
  5. Step 5: Solve for x
    x = 314,596,038,296,396,096/262,853,514.75
  6. Step 6: Final answer
    x = 1,196,849,274.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.