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Finding the Third Proportional to 224,905 and 465,725

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Solution

The third proportional to 224,905 and 465,725 is: 964,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,905 : 465,725 = 465,725 : x
  2. Step 2: Convert to fraction form
    224,905/465,725 = 465,725/x
  3. Step 3: Cross multiply
    224,905x = 465,725 × 465,725
  4. Step 4: Simplify right side
    224,905x = 216,899,775,625
  5. Step 5: Solve for x
    x = 216,899,775,625/224,905
  6. Step 6: Final answer
    x = 964,406.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.