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Finding the Third Proportional to 288,235.13 and 433,279.13

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Solution

The third proportional to 288,235.13 and 433,279.13 is: 651,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,235.13 : 433,279.13 = 433,279.13 : x
  2. Step 2: Convert to fraction form
    288,235.13/433,279.13 = 433,279.13/x
  3. Step 3: Cross multiply
    288,235.13x = 433,279.13 × 433,279.13
  4. Step 4: Simplify right side
    288,235.13x = 187,730,800,160.77
  5. Step 5: Solve for x
    x = 187,730,800,160.77/288,235.13
  6. Step 6: Final answer
    x = 651,311.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.