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Finding the Third Proportional to 516,103 and 713,160.50

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Solution

The third proportional to 516,103 and 713,160.50 is: 985,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,103 : 713,160.50 = 713,160.50 : x
  2. Step 2: Convert to fraction form
    516,103/713,160.50 = 713,160.50/x
  3. Step 3: Cross multiply
    516,103x = 713,160.50 × 713,160.50
  4. Step 4: Simplify right side
    516,103x = 508,597,898,760.25
  5. Step 5: Solve for x
    x = 508,597,898,760.25/516,103
  6. Step 6: Final answer
    x = 985,458.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.