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Finding the Third Proportional to 229,063.50 and 488,549

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Solution

The third proportional to 229,063.50 and 488,549 is: 1,041,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,063.50 : 488,549 = 488,549 : x
  2. Step 2: Convert to fraction form
    229,063.50/488,549 = 488,549/x
  3. Step 3: Cross multiply
    229,063.50x = 488,549 × 488,549
  4. Step 4: Simplify right side
    229,063.50x = 238,680,125,401
  5. Step 5: Solve for x
    x = 238,680,125,401/229,063.50
  6. Step 6: Final answer
    x = 1,041,982.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.