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Finding the Third Proportional to 181,527 and 487,716

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Solution

The third proportional to 181,527 and 487,716 is: 1,310,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,527 : 487,716 = 487,716 : x
  2. Step 2: Convert to fraction form
    181,527/487,716 = 487,716/x
  3. Step 3: Cross multiply
    181,527x = 487,716 × 487,716
  4. Step 4: Simplify right side
    181,527x = 237,866,896,656
  5. Step 5: Solve for x
    x = 237,866,896,656/181,527
  6. Step 6: Final answer
    x = 1,310,366.48

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.