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Finding the Third Proportional to 295,914 and 418,712

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Solution

The third proportional to 295,914 and 418,712 is: 592,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,914 : 418,712 = 418,712 : x
  2. Step 2: Convert to fraction form
    295,914/418,712 = 418,712/x
  3. Step 3: Cross multiply
    295,914x = 418,712 × 418,712
  4. Step 4: Simplify right side
    295,914x = 175,319,738,944
  5. Step 5: Solve for x
    x = 175,319,738,944/295,914
  6. Step 6: Final answer
    x = 592,468.55

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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.