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Finding the Third Proportional to 440,364 and 612,738

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Solution

The third proportional to 440,364 and 612,738 is: 852,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,364 : 612,738 = 612,738 : x
  2. Step 2: Convert to fraction form
    440,364/612,738 = 612,738/x
  3. Step 3: Cross multiply
    440,364x = 612,738 × 612,738
  4. Step 4: Simplify right side
    440,364x = 375,447,856,644
  5. Step 5: Solve for x
    x = 375,447,856,644/440,364
  6. Step 6: Final answer
    x = 852,585.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.