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Finding the Third Proportional to 224,579 and 486,940

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Solution

The third proportional to 224,579 and 486,940 is: 1,055,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,579 : 486,940 = 486,940 : x
  2. Step 2: Convert to fraction form
    224,579/486,940 = 486,940/x
  3. Step 3: Cross multiply
    224,579x = 486,940 × 486,940
  4. Step 4: Simplify right side
    224,579x = 237,110,563,600
  5. Step 5: Solve for x
    x = 237,110,563,600/224,579
  6. Step 6: Final answer
    x = 1,055,800.25

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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.