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Finding the Third Proportional to 250,519.13 and 525,655.50

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Solution

The third proportional to 250,519.13 and 525,655.50 is: 1,102,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,519.13 : 525,655.50 = 525,655.50 : x
  2. Step 2: Convert to fraction form
    250,519.13/525,655.50 = 525,655.50/x
  3. Step 3: Cross multiply
    250,519.13x = 525,655.50 × 525,655.50
  4. Step 4: Simplify right side
    250,519.13x = 276,313,704,680.25
  5. Step 5: Solve for x
    x = 276,313,704,680.25/250,519.13
  6. Step 6: Final answer
    x = 1,102,964.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.