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Finding the Third Proportional to 247,979 and 506,466

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Solution

The third proportional to 247,979 and 506,466 is: 1,034,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,979 : 506,466 = 506,466 : x
  2. Step 2: Convert to fraction form
    247,979/506,466 = 506,466/x
  3. Step 3: Cross multiply
    247,979x = 506,466 × 506,466
  4. Step 4: Simplify right side
    247,979x = 256,507,809,156
  5. Step 5: Solve for x
    x = 256,507,809,156/247,979
  6. Step 6: Final answer
    x = 1,034,393.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.