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Finding the Third Proportional to 242,770.50 and 533,722.50

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Solution

The third proportional to 242,770.50 and 533,722.50 is: 1,173,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,770.50 : 533,722.50 = 533,722.50 : x
  2. Step 2: Convert to fraction form
    242,770.50/533,722.50 = 533,722.50/x
  3. Step 3: Cross multiply
    242,770.50x = 533,722.50 × 533,722.50
  4. Step 4: Simplify right side
    242,770.50x = 284,859,707,006.25
  5. Step 5: Solve for x
    x = 284,859,707,006.25/242,770.50
  6. Step 6: Final answer
    x = 1,173,370.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.