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Finding the Third Proportional to 246,020.50 and 532,842.50

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Solution

The third proportional to 246,020.50 and 532,842.50 is: 1,154,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,020.50 : 532,842.50 = 532,842.50 : x
  2. Step 2: Convert to fraction form
    246,020.50/532,842.50 = 532,842.50/x
  3. Step 3: Cross multiply
    246,020.50x = 532,842.50 × 532,842.50
  4. Step 4: Simplify right side
    246,020.50x = 283,921,129,806.25
  5. Step 5: Solve for x
    x = 283,921,129,806.25/246,020.50
  6. Step 6: Final answer
    x = 1,154,054.76

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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.