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Finding the Third Proportional to 272,800.50 and 592,819.50

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Solution

The third proportional to 272,800.50 and 592,819.50 is: 1,288,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,800.50 : 592,819.50 = 592,819.50 : x
  2. Step 2: Convert to fraction form
    272,800.50/592,819.50 = 592,819.50/x
  3. Step 3: Cross multiply
    272,800.50x = 592,819.50 × 592,819.50
  4. Step 4: Simplify right side
    272,800.50x = 351,434,959,580.25
  5. Step 5: Solve for x
    x = 351,434,959,580.25/272,800.50
  6. Step 6: Final answer
    x = 1,288,248.96

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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.