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Finding the Third Proportional to 215,300 and 320,486

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Solution

The third proportional to 215,300 and 320,486 is: 477,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,300 : 320,486 = 320,486 : x
  2. Step 2: Convert to fraction form
    215,300/320,486 = 320,486/x
  3. Step 3: Cross multiply
    215,300x = 320,486 × 320,486
  4. Step 4: Simplify right side
    215,300x = 102,711,276,196
  5. Step 5: Solve for x
    x = 102,711,276,196/215,300
  6. Step 6: Final answer
    x = 477,061.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.