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Finding the Third Proportional to 438,527 and 656,026

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Solution

The third proportional to 438,527 and 656,026 is: 981,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,527 : 656,026 = 656,026 : x
  2. Step 2: Convert to fraction form
    438,527/656,026 = 656,026/x
  3. Step 3: Cross multiply
    438,527x = 656,026 × 656,026
  4. Step 4: Simplify right side
    438,527x = 430,370,112,676
  5. Step 5: Solve for x
    x = 430,370,112,676/438,527
  6. Step 6: Final answer
    x = 981,399.35

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Why These Related Problems?

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