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Finding the Third Proportional to 295,972 and 418,800

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Solution

The third proportional to 295,972 and 418,800 is: 592,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,972 : 418,800 = 418,800 : x
  2. Step 2: Convert to fraction form
    295,972/418,800 = 418,800/x
  3. Step 3: Cross multiply
    295,972x = 418,800 × 418,800
  4. Step 4: Simplify right side
    295,972x = 175,393,440,000
  5. Step 5: Solve for x
    x = 175,393,440,000/295,972
  6. Step 6: Final answer
    x = 592,601.46

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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.