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Finding the Third Proportional to 207,904 and 455,584

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Solution

The third proportional to 207,904 and 455,584 is: 998,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,904 : 455,584 = 455,584 : x
  2. Step 2: Convert to fraction form
    207,904/455,584 = 455,584/x
  3. Step 3: Cross multiply
    207,904x = 455,584 × 455,584
  4. Step 4: Simplify right side
    207,904x = 207,556,781,056
  5. Step 5: Solve for x
    x = 207,556,781,056/207,904
  6. Step 6: Final answer
    x = 998,329.91

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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.