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Finding the Third Proportional to 269,932.50 and 579,139.88

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Solution

The third proportional to 269,932.50 and 579,139.88 is: 1,242,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,932.50 : 579,139.88 = 579,139.88 : x
  2. Step 2: Convert to fraction form
    269,932.50/579,139.88 = 579,139.88/x
  3. Step 3: Cross multiply
    269,932.50x = 579,139.88 × 579,139.88
  4. Step 4: Simplify right side
    269,932.50x = 335,402,994,815.02
  5. Step 5: Solve for x
    x = 335,402,994,815.02/269,932.50
  6. Step 6: Final answer
    x = 1,242,543.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.