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Finding the Third Proportional to 240,209.50 and 556,025.50

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Solution

The third proportional to 240,209.50 and 556,025.50 is: 1,287,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,209.50 : 556,025.50 = 556,025.50 : x
  2. Step 2: Convert to fraction form
    240,209.50/556,025.50 = 556,025.50/x
  3. Step 3: Cross multiply
    240,209.50x = 556,025.50 × 556,025.50
  4. Step 4: Simplify right side
    240,209.50x = 309,164,356,650.25
  5. Step 5: Solve for x
    x = 309,164,356,650.25/240,209.50
  6. Step 6: Final answer
    x = 1,287,061.32

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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.