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Finding the Third Proportional to 462,240 and 649,026

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Solution

The third proportional to 462,240 and 649,026 is: 911,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,240 : 649,026 = 649,026 : x
  2. Step 2: Convert to fraction form
    462,240/649,026 = 649,026/x
  3. Step 3: Cross multiply
    462,240x = 649,026 × 649,026
  4. Step 4: Simplify right side
    462,240x = 421,234,748,676
  5. Step 5: Solve for x
    x = 421,234,748,676/462,240
  6. Step 6: Final answer
    x = 911,290.13

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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.