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Finding the Third Proportional to 224,807 and 470,397

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Solution

The third proportional to 224,807 and 470,397 is: 984,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,807 : 470,397 = 470,397 : x
  2. Step 2: Convert to fraction form
    224,807/470,397 = 470,397/x
  3. Step 3: Cross multiply
    224,807x = 470,397 × 470,397
  4. Step 4: Simplify right side
    224,807x = 221,273,337,609
  5. Step 5: Solve for x
    x = 221,273,337,609/224,807
  6. Step 6: Final answer
    x = 984,281.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.