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Finding the Third Proportional to 462,264 and 649,062

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Solution

The third proportional to 462,264 and 649,062 is: 911,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,264 : 649,062 = 649,062 : x
  2. Step 2: Convert to fraction form
    462,264/649,062 = 649,062/x
  3. Step 3: Cross multiply
    462,264x = 649,062 × 649,062
  4. Step 4: Simplify right side
    462,264x = 421,281,479,844
  5. Step 5: Solve for x
    x = 421,281,479,844/462,264
  6. Step 6: Final answer
    x = 911,343.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.