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Finding the Third Proportional to 224,511 and 487,775.50

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Solution

The third proportional to 224,511 and 487,775.50 is: 1,059,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,511 : 487,775.50 = 487,775.50 : x
  2. Step 2: Convert to fraction form
    224,511/487,775.50 = 487,775.50/x
  3. Step 3: Cross multiply
    224,511x = 487,775.50 × 487,775.50
  4. Step 4: Simplify right side
    224,511x = 237,924,938,400.25
  5. Step 5: Solve for x
    x = 237,924,938,400.25/224,511
  6. Step 6: Final answer
    x = 1,059,747.35

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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.