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Finding the Third Proportional to 479,523.38 and 716,002.88

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Solution

The third proportional to 479,523.38 and 716,002.88 is: 1,069,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,523.38 : 716,002.88 = 716,002.88 : x
  2. Step 2: Convert to fraction form
    479,523.38/716,002.88 = 716,002.88/x
  3. Step 3: Cross multiply
    479,523.38x = 716,002.88 × 716,002.88
  4. Step 4: Simplify right side
    479,523.38x = 512,660,117,008.27
  5. Step 5: Solve for x
    x = 512,660,117,008.27/479,523.38
  6. Step 6: Final answer
    x = 1,069,103.50

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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.