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Finding the Third Proportional to 317,224 and 748,584

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Solution

The third proportional to 317,224 and 748,584 is: 1,766,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,224 : 748,584 = 748,584 : x
  2. Step 2: Convert to fraction form
    317,224/748,584 = 748,584/x
  3. Step 3: Cross multiply
    317,224x = 748,584 × 748,584
  4. Step 4: Simplify right side
    317,224x = 560,378,005,056
  5. Step 5: Solve for x
    x = 560,378,005,056/317,224
  6. Step 6: Final answer
    x = 1,766,505.70

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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.