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Finding the Third Proportional to 244,041.61 and 506,534.77

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Solution

The third proportional to 244,041.61 and 506,534.77 is: 1,051,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,041.61 : 506,534.77 = 506,534.77 : x
  2. Step 2: Convert to fraction form
    244,041.61/506,534.77 = 506,534.77/x
  3. Step 3: Cross multiply
    244,041.61x = 506,534.77 × 506,534.77
  4. Step 4: Simplify right side
    244,041.61x = 256,577,468,786.77
  5. Step 5: Solve for x
    x = 256,577,468,786.77/244,041.61
  6. Step 6: Final answer
    x = 1,051,367.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.