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Finding the Third Proportional to 295,912 and 418,707

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Solution

The third proportional to 295,912 and 418,707 is: 592,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,912 : 418,707 = 418,707 : x
  2. Step 2: Convert to fraction form
    295,912/418,707 = 418,707/x
  3. Step 3: Cross multiply
    295,912x = 418,707 × 418,707
  4. Step 4: Simplify right side
    295,912x = 175,315,551,849
  5. Step 5: Solve for x
    x = 175,315,551,849/295,912
  6. Step 6: Final answer
    x = 592,458.41

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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.