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Finding the Third Proportional to 295,902 and 418,697

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Solution

The third proportional to 295,902 and 418,697 is: 592,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,902 : 418,697 = 418,697 : x
  2. Step 2: Convert to fraction form
    295,902/418,697 = 418,697/x
  3. Step 3: Cross multiply
    295,902x = 418,697 × 418,697
  4. Step 4: Simplify right side
    295,902x = 175,307,177,809
  5. Step 5: Solve for x
    x = 175,307,177,809/295,902
  6. Step 6: Final answer
    x = 592,450.13

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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.