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Finding the Third Proportional to 296,839.69 and 700,032.38

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Solution

The third proportional to 296,839.69 and 700,032.38 is: 1,650,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,839.69 : 700,032.38 = 700,032.38 : x
  2. Step 2: Convert to fraction form
    296,839.69/700,032.38 = 700,032.38/x
  3. Step 3: Cross multiply
    296,839.69x = 700,032.38 × 700,032.38
  4. Step 4: Simplify right side
    296,839.69x = 490,045,326,048.14
  5. Step 5: Solve for x
    x = 490,045,326,048.14/296,839.69
  6. Step 6: Final answer
    x = 1,650,875.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.