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Finding the Third Proportional to 240,205.50 and 556,017.75

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Solution

The third proportional to 240,205.50 and 556,017.75 is: 1,287,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,205.50 : 556,017.75 = 556,017.75 : x
  2. Step 2: Convert to fraction form
    240,205.50/556,017.75 = 556,017.75/x
  3. Step 3: Cross multiply
    240,205.50x = 556,017.75 × 556,017.75
  4. Step 4: Simplify right side
    240,205.50x = 309,155,738,315.06
  5. Step 5: Solve for x
    x = 309,155,738,315.06/240,205.50
  6. Step 6: Final answer
    x = 1,287,046.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.