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Finding the Third Proportional to 224,740 and 486,982

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Solution

The third proportional to 224,740 and 486,982 is: 1,055,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,740 : 486,982 = 486,982 : x
  2. Step 2: Convert to fraction form
    224,740/486,982 = 486,982/x
  3. Step 3: Cross multiply
    224,740x = 486,982 × 486,982
  4. Step 4: Simplify right side
    224,740x = 237,151,468,324
  5. Step 5: Solve for x
    x = 237,151,468,324/224,740
  6. Step 6: Final answer
    x = 1,055,225.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.