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Finding the Third Proportional to 246,112.50 and 537,775.50

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Solution

The third proportional to 246,112.50 and 537,775.50 is: 1,175,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,112.50 : 537,775.50 = 537,775.50 : x
  2. Step 2: Convert to fraction form
    246,112.50/537,775.50 = 537,775.50/x
  3. Step 3: Cross multiply
    246,112.50x = 537,775.50 × 537,775.50
  4. Step 4: Simplify right side
    246,112.50x = 289,202,488,400.25
  5. Step 5: Solve for x
    x = 289,202,488,400.25/246,112.50
  6. Step 6: Final answer
    x = 1,175,082.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.