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Finding the Third Proportional to 345,496 and 747,585

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Solution

The third proportional to 345,496 and 747,585 is: 1,617,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,496 : 747,585 = 747,585 : x
  2. Step 2: Convert to fraction form
    345,496/747,585 = 747,585/x
  3. Step 3: Cross multiply
    345,496x = 747,585 × 747,585
  4. Step 4: Simplify right side
    345,496x = 558,883,332,225
  5. Step 5: Solve for x
    x = 558,883,332,225/345,496
  6. Step 6: Final answer
    x = 1,617,626.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.