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Finding the Third Proportional to 257,382 and 404,169

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Solution

The third proportional to 257,382 and 404,169 is: 634,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,382 : 404,169 = 404,169 : x
  2. Step 2: Convert to fraction form
    257,382/404,169 = 404,169/x
  3. Step 3: Cross multiply
    257,382x = 404,169 × 404,169
  4. Step 4: Simplify right side
    257,382x = 163,352,580,561
  5. Step 5: Solve for x
    x = 163,352,580,561/257,382
  6. Step 6: Final answer
    x = 634,669.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.