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Finding the Third Proportional to 443,127 and 687,452

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Solution

The third proportional to 443,127 and 687,452 is: 1,066,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,127 : 687,452 = 687,452 : x
  2. Step 2: Convert to fraction form
    443,127/687,452 = 687,452/x
  3. Step 3: Cross multiply
    443,127x = 687,452 × 687,452
  4. Step 4: Simplify right side
    443,127x = 472,590,252,304
  5. Step 5: Solve for x
    x = 472,590,252,304/443,127
  6. Step 6: Final answer
    x = 1,066,489.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.