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Finding the Third Proportional to 295,890 and 418,677

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Solution

The third proportional to 295,890 and 418,677 is: 592,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,890 : 418,677 = 418,677 : x
  2. Step 2: Convert to fraction form
    295,890/418,677 = 418,677/x
  3. Step 3: Cross multiply
    295,890x = 418,677 × 418,677
  4. Step 4: Simplify right side
    295,890x = 175,290,430,329
  5. Step 5: Solve for x
    x = 175,290,430,329/295,890
  6. Step 6: Final answer
    x = 592,417.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.