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Finding the Third Proportional to 539,101.50 and 798,142.50

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Solution

The third proportional to 539,101.50 and 798,142.50 is: 1,181,654.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,101.50 : 798,142.50 = 798,142.50 : x
  2. Step 2: Convert to fraction form
    539,101.50/798,142.50 = 798,142.50/x
  3. Step 3: Cross multiply
    539,101.50x = 798,142.50 × 798,142.50
  4. Step 4: Simplify right side
    539,101.50x = 637,031,450,306.25
  5. Step 5: Solve for x
    x = 637,031,450,306.25/539,101.50
  6. Step 6: Final answer
    x = 1,181,654.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.