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Finding the Third Proportional to 292,416 and 638,424

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Solution

The third proportional to 292,416 and 638,424 is: 1,393,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,416 : 638,424 = 638,424 : x
  2. Step 2: Convert to fraction form
    292,416/638,424 = 638,424/x
  3. Step 3: Cross multiply
    292,416x = 638,424 × 638,424
  4. Step 4: Simplify right side
    292,416x = 407,585,203,776
  5. Step 5: Solve for x
    x = 407,585,203,776/292,416
  6. Step 6: Final answer
    x = 1,393,853.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.