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Finding the Third Proportional to 224,946 and 486,612

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Solution

The third proportional to 224,946 and 486,612 is: 1,052,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,946 : 486,612 = 486,612 : x
  2. Step 2: Convert to fraction form
    224,946/486,612 = 486,612/x
  3. Step 3: Cross multiply
    224,946x = 486,612 × 486,612
  4. Step 4: Simplify right side
    224,946x = 236,791,238,544
  5. Step 5: Solve for x
    x = 236,791,238,544/224,946
  6. Step 6: Final answer
    x = 1,052,658.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.