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Finding the Third Proportional to 262,853,490 and 560,888,566.50

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Solution

The third proportional to 262,853,490 and 560,888,566.50 is: 1,196,849,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,853,490 : 560,888,566.50 = 560,888,566.50 : x
  2. Step 2: Convert to fraction form
    262,853,490/560,888,566.50 = 560,888,566.50/x
  3. Step 3: Cross multiply
    262,853,490x = 560,888,566.50 × 560,888,566.50
  4. Step 4: Simplify right side
    262,853,490x = 314,595,984,030,424,896
  5. Step 5: Solve for x
    x = 314,595,984,030,424,896/262,853,490
  6. Step 6: Final answer
    x = 1,196,849,180.24

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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.