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Finding the Third Proportional to 235,466 and 508,646

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Solution

The third proportional to 235,466 and 508,646 is: 1,098,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,466 : 508,646 = 508,646 : x
  2. Step 2: Convert to fraction form
    235,466/508,646 = 508,646/x
  3. Step 3: Cross multiply
    235,466x = 508,646 × 508,646
  4. Step 4: Simplify right side
    235,466x = 258,720,753,316
  5. Step 5: Solve for x
    x = 258,720,753,316/235,466
  6. Step 6: Final answer
    x = 1,098,760.56

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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.