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Finding the Third Proportional to 516,339 and 743,670

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Solution

The third proportional to 516,339 and 743,670 is: 1,071,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,339 : 743,670 = 743,670 : x
  2. Step 2: Convert to fraction form
    516,339/743,670 = 743,670/x
  3. Step 3: Cross multiply
    516,339x = 743,670 × 743,670
  4. Step 4: Simplify right side
    516,339x = 553,045,068,900
  5. Step 5: Solve for x
    x = 553,045,068,900/516,339
  6. Step 6: Final answer
    x = 1,071,089.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.