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Finding the Third Proportional to 316,966.50 and 747,473.06

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Solution

The third proportional to 316,966.50 and 747,473.06 is: 1,762,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,966.50 : 747,473.06 = 747,473.06 : x
  2. Step 2: Convert to fraction form
    316,966.50/747,473.06 = 747,473.06/x
  3. Step 3: Cross multiply
    316,966.50x = 747,473.06 × 747,473.06
  4. Step 4: Simplify right side
    316,966.50x = 558,715,979,163.13
  5. Step 5: Solve for x
    x = 558,715,979,163.13/316,966.50
  6. Step 6: Final answer
    x = 1,762,697.25

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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.