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Finding the Third Proportional to 316,981.69 and 747,528.75

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Solution

The third proportional to 316,981.69 and 747,528.75 is: 1,762,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,981.69 : 747,528.75 = 747,528.75 : x
  2. Step 2: Convert to fraction form
    316,981.69/747,528.75 = 747,528.75/x
  3. Step 3: Cross multiply
    316,981.69x = 747,528.75 × 747,528.75
  4. Step 4: Simplify right side
    316,981.69x = 558,799,232,076.56
  5. Step 5: Solve for x
    x = 558,799,232,076.56/316,981.69
  6. Step 6: Final answer
    x = 1,762,875.44

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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.