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Finding the Third Proportional to 354,937.50 and 516,199.50

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Solution

The third proportional to 354,937.50 and 516,199.50 is: 750,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,937.50 : 516,199.50 = 516,199.50 : x
  2. Step 2: Convert to fraction form
    354,937.50/516,199.50 = 516,199.50/x
  3. Step 3: Cross multiply
    354,937.50x = 516,199.50 × 516,199.50
  4. Step 4: Simplify right side
    354,937.50x = 266,461,923,800.25
  5. Step 5: Solve for x
    x = 266,461,923,800.25/354,937.50
  6. Step 6: Final answer
    x = 750,729.14

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.