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Finding the Third Proportional to 234,882 and 498,924

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Solution

The third proportional to 234,882 and 498,924 is: 1,059,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,882 : 498,924 = 498,924 : x
  2. Step 2: Convert to fraction form
    234,882/498,924 = 498,924/x
  3. Step 3: Cross multiply
    234,882x = 498,924 × 498,924
  4. Step 4: Simplify right side
    234,882x = 248,925,157,776
  5. Step 5: Solve for x
    x = 248,925,157,776/234,882
  6. Step 6: Final answer
    x = 1,059,788.14

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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.