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Finding the Third Proportional to 234,150 and 497,466

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Solution

The third proportional to 234,150 and 497,466 is: 1,056,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,150 : 497,466 = 497,466 : x
  2. Step 2: Convert to fraction form
    234,150/497,466 = 497,466/x
  3. Step 3: Cross multiply
    234,150x = 497,466 × 497,466
  4. Step 4: Simplify right side
    234,150x = 247,472,421,156
  5. Step 5: Solve for x
    x = 247,472,421,156/234,150
  6. Step 6: Final answer
    x = 1,056,896.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.