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Finding the Third Proportional to 224,737 and 485,465

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Solution

The third proportional to 224,737 and 485,465 is: 1,048,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,737 : 485,465 = 485,465 : x
  2. Step 2: Convert to fraction form
    224,737/485,465 = 485,465/x
  3. Step 3: Cross multiply
    224,737x = 485,465 × 485,465
  4. Step 4: Simplify right side
    224,737x = 235,676,266,225
  5. Step 5: Solve for x
    x = 235,676,266,225/224,737
  6. Step 6: Final answer
    x = 1,048,675.86

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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.