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Finding the Third Proportional to 257,716.13 and 533,110.50

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Solution

The third proportional to 257,716.13 and 533,110.50 is: 1,102,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,716.13 : 533,110.50 = 533,110.50 : x
  2. Step 2: Convert to fraction form
    257,716.13/533,110.50 = 533,110.50/x
  3. Step 3: Cross multiply
    257,716.13x = 533,110.50 × 533,110.50
  4. Step 4: Simplify right side
    257,716.13x = 284,206,805,210.25
  5. Step 5: Solve for x
    x = 284,206,805,210.25/257,716.13
  6. Step 6: Final answer
    x = 1,102,790.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.