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Finding the Third Proportional to 413,935.31 and 607,272.19

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Solution

The third proportional to 413,935.31 and 607,272.19 is: 890,910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,935.31 : 607,272.19 = 607,272.19 : x
  2. Step 2: Convert to fraction form
    413,935.31/607,272.19 = 607,272.19/x
  3. Step 3: Cross multiply
    413,935.31x = 607,272.19 × 607,272.19
  4. Step 4: Simplify right side
    413,935.31x = 368,779,509,711.04
  5. Step 5: Solve for x
    x = 368,779,509,711.04/413,935.31
  6. Step 6: Final answer
    x = 890,910.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.