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Finding the Third Proportional to 247,062 and 577,695

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Solution

The third proportional to 247,062 and 577,695 is: 1,350,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,062 : 577,695 = 577,695 : x
  2. Step 2: Convert to fraction form
    247,062/577,695 = 577,695/x
  3. Step 3: Cross multiply
    247,062x = 577,695 × 577,695
  4. Step 4: Simplify right side
    247,062x = 333,731,513,025
  5. Step 5: Solve for x
    x = 333,731,513,025/247,062
  6. Step 6: Final answer
    x = 1,350,800.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.