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Finding the Third Proportional to 516,060 and 787,621.50

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Solution

The third proportional to 516,060 and 787,621.50 is: 1,202,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,060 : 787,621.50 = 787,621.50 : x
  2. Step 2: Convert to fraction form
    516,060/787,621.50 = 787,621.50/x
  3. Step 3: Cross multiply
    516,060x = 787,621.50 × 787,621.50
  4. Step 4: Simplify right side
    516,060x = 620,347,627,262.25
  5. Step 5: Solve for x
    x = 620,347,627,262.25/516,060
  6. Step 6: Final answer
    x = 1,202,084.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.