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Finding the Third Proportional to 189,527 and 408,577

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Solution

The third proportional to 189,527 and 408,577 is: 880,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,527 : 408,577 = 408,577 : x
  2. Step 2: Convert to fraction form
    189,527/408,577 = 408,577/x
  3. Step 3: Cross multiply
    189,527x = 408,577 × 408,577
  4. Step 4: Simplify right side
    189,527x = 166,935,164,929
  5. Step 5: Solve for x
    x = 166,935,164,929/189,527
  6. Step 6: Final answer
    x = 880,798.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.