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Finding the Third Proportional to 395,585 and 612,924

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Solution

The third proportional to 395,585 and 612,924 is: 949,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,585 : 612,924 = 612,924 : x
  2. Step 2: Convert to fraction form
    395,585/612,924 = 612,924/x
  3. Step 3: Cross multiply
    395,585x = 612,924 × 612,924
  4. Step 4: Simplify right side
    395,585x = 375,675,829,776
  5. Step 5: Solve for x
    x = 375,675,829,776/395,585
  6. Step 6: Final answer
    x = 949,671.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.