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Finding the Third Proportional to 539,662.50 and 1,187,986.50

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Solution

The third proportional to 539,662.50 and 1,187,986.50 is: 2,615,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,662.50 : 1,187,986.50 = 1,187,986.50 : x
  2. Step 2: Convert to fraction form
    539,662.50/1,187,986.50 = 1,187,986.50/x
  3. Step 3: Cross multiply
    539,662.50x = 1,187,986.50 × 1,187,986.50
  4. Step 4: Simplify right side
    539,662.50x = 1,411,311,924,182.25
  5. Step 5: Solve for x
    x = 1,411,311,924,182.25/539,662.50
  6. Step 6: Final answer
    x = 2,615,175.08

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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.