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Finding the Third Proportional to 439,020 and 656,658

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Solution

The third proportional to 439,020 and 656,658 is: 982,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,020 : 656,658 = 656,658 : x
  2. Step 2: Convert to fraction form
    439,020/656,658 = 656,658/x
  3. Step 3: Cross multiply
    439,020x = 656,658 × 656,658
  4. Step 4: Simplify right side
    439,020x = 431,199,728,964
  5. Step 5: Solve for x
    x = 431,199,728,964/439,020
  6. Step 6: Final answer
    x = 982,186.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.