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Finding the Third Proportional to 316,959.75 and 747,471

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Solution

The third proportional to 316,959.75 and 747,471 is: 1,762,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,959.75 : 747,471 = 747,471 : x
  2. Step 2: Convert to fraction form
    316,959.75/747,471 = 747,471/x
  3. Step 3: Cross multiply
    316,959.75x = 747,471 × 747,471
  4. Step 4: Simplify right side
    316,959.75x = 558,712,895,841
  5. Step 5: Solve for x
    x = 558,712,895,841/316,959.75
  6. Step 6: Final answer
    x = 1,762,725.06

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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.