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Finding the Third Proportional to 443,139 and 687,470

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Solution

The third proportional to 443,139 and 687,470 is: 1,066,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,139 : 687,470 = 687,470 : x
  2. Step 2: Convert to fraction form
    443,139/687,470 = 687,470/x
  3. Step 3: Cross multiply
    443,139x = 687,470 × 687,470
  4. Step 4: Simplify right side
    443,139x = 472,615,000,900
  5. Step 5: Solve for x
    x = 472,615,000,900/443,139
  6. Step 6: Final answer
    x = 1,066,516.38

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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.