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Finding the Third Proportional to 384,948 and 592,452

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Solution

The third proportional to 384,948 and 592,452 is: 911,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,948 : 592,452 = 592,452 : x
  2. Step 2: Convert to fraction form
    384,948/592,452 = 592,452/x
  3. Step 3: Cross multiply
    384,948x = 592,452 × 592,452
  4. Step 4: Simplify right side
    384,948x = 350,999,372,304
  5. Step 5: Solve for x
    x = 350,999,372,304/384,948
  6. Step 6: Final answer
    x = 911,809.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.