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Finding the Third Proportional to 224,574.75 and 486,534.38

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Solution

The third proportional to 224,574.75 and 486,534.38 is: 1,054,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,574.75 : 486,534.38 = 486,534.38 : x
  2. Step 2: Convert to fraction form
    224,574.75/486,534.38 = 486,534.38/x
  3. Step 3: Cross multiply
    224,574.75x = 486,534.38 × 486,534.38
  4. Step 4: Simplify right side
    224,574.75x = 236,715,698,056.64
  5. Step 5: Solve for x
    x = 236,715,698,056.64/224,574.75
  6. Step 6: Final answer
    x = 1,054,061.95

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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.