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Finding the Third Proportional to 374,862 and 534,246

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Solution

The third proportional to 374,862 and 534,246 is: 761,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,862 : 534,246 = 534,246 : x
  2. Step 2: Convert to fraction form
    374,862/534,246 = 534,246/x
  3. Step 3: Cross multiply
    374,862x = 534,246 × 534,246
  4. Step 4: Simplify right side
    374,862x = 285,418,788,516
  5. Step 5: Solve for x
    x = 285,418,788,516/374,862
  6. Step 6: Final answer
    x = 761,396.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.