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Finding the Third Proportional to 240,841.50 and 524,590.50

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Solution

The third proportional to 240,841.50 and 524,590.50 is: 1,142,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,841.50 : 524,590.50 = 524,590.50 : x
  2. Step 2: Convert to fraction form
    240,841.50/524,590.50 = 524,590.50/x
  3. Step 3: Cross multiply
    240,841.50x = 524,590.50 × 524,590.50
  4. Step 4: Simplify right side
    240,841.50x = 275,195,192,690.25
  5. Step 5: Solve for x
    x = 275,195,192,690.25/240,841.50
  6. Step 6: Final answer
    x = 1,142,640.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.