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Finding the Third Proportional to 224,735 and 485,461

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Solution

The third proportional to 224,735 and 485,461 is: 1,048,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,735 : 485,461 = 485,461 : x
  2. Step 2: Convert to fraction form
    224,735/485,461 = 485,461/x
  3. Step 3: Cross multiply
    224,735x = 485,461 × 485,461
  4. Step 4: Simplify right side
    224,735x = 235,672,382,521
  5. Step 5: Solve for x
    x = 235,672,382,521/224,735
  6. Step 6: Final answer
    x = 1,048,667.91

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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.