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Finding the Third Proportional to 317,037.75 and 747,645

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Solution

The third proportional to 317,037.75 and 747,645 is: 1,763,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,037.75 : 747,645 = 747,645 : x
  2. Step 2: Convert to fraction form
    317,037.75/747,645 = 747,645/x
  3. Step 3: Cross multiply
    317,037.75x = 747,645 × 747,645
  4. Step 4: Simplify right side
    317,037.75x = 558,973,046,025
  5. Step 5: Solve for x
    x = 558,973,046,025/317,037.75
  6. Step 6: Final answer
    x = 1,763,111.95

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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.