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Finding the Third Proportional to 257,892 and 560,620

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Solution

The third proportional to 257,892 and 560,620 is: 1,218,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,892 : 560,620 = 560,620 : x
  2. Step 2: Convert to fraction form
    257,892/560,620 = 560,620/x
  3. Step 3: Cross multiply
    257,892x = 560,620 × 560,620
  4. Step 4: Simplify right side
    257,892x = 314,294,784,400
  5. Step 5: Solve for x
    x = 314,294,784,400/257,892
  6. Step 6: Final answer
    x = 1,218,707.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.