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Finding the Third Proportional to 316,966.50 and 747,486.56

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Solution

The third proportional to 316,966.50 and 747,486.56 is: 1,762,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,966.50 : 747,486.56 = 747,486.56 : x
  2. Step 2: Convert to fraction form
    316,966.50/747,486.56 = 747,486.56/x
  3. Step 3: Cross multiply
    316,966.50x = 747,486.56 × 747,486.56
  4. Step 4: Simplify right side
    316,966.50x = 558,736,161,118.07
  5. Step 5: Solve for x
    x = 558,736,161,118.07/316,966.50
  6. Step 6: Final answer
    x = 1,762,760.93

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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.