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Finding the Third Proportional to 357,169.50 and 763,454.25

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Solution

The third proportional to 357,169.50 and 763,454.25 is: 1,631,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,169.50 : 763,454.25 = 763,454.25 : x
  2. Step 2: Convert to fraction form
    357,169.50/763,454.25 = 763,454.25/x
  3. Step 3: Cross multiply
    357,169.50x = 763,454.25 × 763,454.25
  4. Step 4: Simplify right side
    357,169.50x = 582,862,391,843.06
  5. Step 5: Solve for x
    x = 582,862,391,843.06/357,169.50
  6. Step 6: Final answer
    x = 1,631,892.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.