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Finding the Third Proportional to 298,650 and 462,420

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Solution

The third proportional to 298,650 and 462,420 is: 715,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,650 : 462,420 = 462,420 : x
  2. Step 2: Convert to fraction form
    298,650/462,420 = 462,420/x
  3. Step 3: Cross multiply
    298,650x = 462,420 × 462,420
  4. Step 4: Simplify right side
    298,650x = 213,832,256,400
  5. Step 5: Solve for x
    x = 213,832,256,400/298,650
  6. Step 6: Final answer
    x = 715,996.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.