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Finding the Third Proportional to 293,407.31 and 625,569.33

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Solution

The third proportional to 293,407.31 and 625,569.33 is: 1,333,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,407.31 : 625,569.33 = 625,569.33 : x
  2. Step 2: Convert to fraction form
    293,407.31/625,569.33 = 625,569.33/x
  3. Step 3: Cross multiply
    293,407.31x = 625,569.33 × 625,569.33
  4. Step 4: Simplify right side
    293,407.31x = 391,336,984,290.76
  5. Step 5: Solve for x
    x = 391,336,984,290.76/293,407.31
  6. Step 6: Final answer
    x = 1,333,766.98

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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.