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Finding the Third Proportional to 413,291.25 and 638,352

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Solution

The third proportional to 413,291.25 and 638,352 is: 985,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,291.25 : 638,352 = 638,352 : x
  2. Step 2: Convert to fraction form
    413,291.25/638,352 = 638,352/x
  3. Step 3: Cross multiply
    413,291.25x = 638,352 × 638,352
  4. Step 4: Simplify right side
    413,291.25x = 407,493,275,904
  5. Step 5: Solve for x
    x = 407,493,275,904/413,291.25
  6. Step 6: Final answer
    x = 985,971.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.