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Finding the Third Proportional to 651,319.31 and 930,538.13

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Solution

The third proportional to 651,319.31 and 930,538.13 is: 1,329,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,319.31 : 930,538.13 = 930,538.13 : x
  2. Step 2: Convert to fraction form
    651,319.31/930,538.13 = 930,538.13/x
  3. Step 3: Cross multiply
    651,319.31x = 930,538.13 × 930,538.13
  4. Step 4: Simplify right side
    651,319.31x = 865,901,202,078.52
  5. Step 5: Solve for x
    x = 865,901,202,078.52/651,319.31
  6. Step 6: Final answer
    x = 1,329,457.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.