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Finding the Third Proportional to 302,472 and 464,282

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Solution

The third proportional to 302,472 and 464,282 is: 712,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,472 : 464,282 = 464,282 : x
  2. Step 2: Convert to fraction form
    302,472/464,282 = 464,282/x
  3. Step 3: Cross multiply
    302,472x = 464,282 × 464,282
  4. Step 4: Simplify right side
    302,472x = 215,557,775,524
  5. Step 5: Solve for x
    x = 215,557,775,524/302,472
  6. Step 6: Final answer
    x = 712,653.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.