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Finding the Third Proportional to 438,214 and 662,061

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Solution

The third proportional to 438,214 and 662,061 is: 1,000,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,214 : 662,061 = 662,061 : x
  2. Step 2: Convert to fraction form
    438,214/662,061 = 662,061/x
  3. Step 3: Cross multiply
    438,214x = 662,061 × 662,061
  4. Step 4: Simplify right side
    438,214x = 438,324,767,721
  5. Step 5: Solve for x
    x = 438,324,767,721/438,214
  6. Step 6: Final answer
    x = 1,000,252.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.