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Finding the Third Proportional to 428,044 and 663,708

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Solution

The third proportional to 428,044 and 663,708 is: 1,029,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,044 : 663,708 = 663,708 : x
  2. Step 2: Convert to fraction form
    428,044/663,708 = 663,708/x
  3. Step 3: Cross multiply
    428,044x = 663,708 × 663,708
  4. Step 4: Simplify right side
    428,044x = 440,508,309,264
  5. Step 5: Solve for x
    x = 440,508,309,264/428,044
  6. Step 6: Final answer
    x = 1,029,119.22

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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.