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Finding the Third Proportional to 185,904 and 407,448

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Solution

The third proportional to 185,904 and 407,448 is: 893,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,904 : 407,448 = 407,448 : x
  2. Step 2: Convert to fraction form
    185,904/407,448 = 407,448/x
  3. Step 3: Cross multiply
    185,904x = 407,448 × 407,448
  4. Step 4: Simplify right side
    185,904x = 166,013,872,704
  5. Step 5: Solve for x
    x = 166,013,872,704/185,904
  6. Step 6: Final answer
    x = 893,008.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.