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Finding the Third Proportional to 246,265.50 and 539,240.25

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Solution

The third proportional to 246,265.50 and 539,240.25 is: 1,180,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,265.50 : 539,240.25 = 539,240.25 : x
  2. Step 2: Convert to fraction form
    246,265.50/539,240.25 = 539,240.25/x
  3. Step 3: Cross multiply
    246,265.50x = 539,240.25 × 539,240.25
  4. Step 4: Simplify right side
    246,265.50x = 290,780,047,220.06
  5. Step 5: Solve for x
    x = 290,780,047,220.06/246,265.50
  6. Step 6: Final answer
    x = 1,180,758.36

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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.