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Finding the Third Proportional to 246,670 and 532,681

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Solution

The third proportional to 246,670 and 532,681 is: 1,150,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,670 : 532,681 = 532,681 : x
  2. Step 2: Convert to fraction form
    246,670/532,681 = 532,681/x
  3. Step 3: Cross multiply
    246,670x = 532,681 × 532,681
  4. Step 4: Simplify right side
    246,670x = 283,749,047,761
  5. Step 5: Solve for x
    x = 283,749,047,761/246,670
  6. Step 6: Final answer
    x = 1,150,318.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.