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Finding the Third Proportional to 395,232 and 865,416

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Solution

The third proportional to 395,232 and 865,416 is: 1,894,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,232 : 865,416 = 865,416 : x
  2. Step 2: Convert to fraction form
    395,232/865,416 = 865,416/x
  3. Step 3: Cross multiply
    395,232x = 865,416 × 865,416
  4. Step 4: Simplify right side
    395,232x = 748,944,853,056
  5. Step 5: Solve for x
    x = 748,944,853,056/395,232
  6. Step 6: Final answer
    x = 1,894,949.94

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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.