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Finding the Third Proportional to 320,523 and 498,282

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Solution

The third proportional to 320,523 and 498,282 is: 774,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,523 : 498,282 = 498,282 : x
  2. Step 2: Convert to fraction form
    320,523/498,282 = 498,282/x
  3. Step 3: Cross multiply
    320,523x = 498,282 × 498,282
  4. Step 4: Simplify right side
    320,523x = 248,284,951,524
  5. Step 5: Solve for x
    x = 248,284,951,524/320,523
  6. Step 6: Final answer
    x = 774,624.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.