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Finding the Third Proportional to 245,029.50 and 519,799.50

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Solution

The third proportional to 245,029.50 and 519,799.50 is: 1,102,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,029.50 : 519,799.50 = 519,799.50 : x
  2. Step 2: Convert to fraction form
    245,029.50/519,799.50 = 519,799.50/x
  3. Step 3: Cross multiply
    245,029.50x = 519,799.50 × 519,799.50
  4. Step 4: Simplify right side
    245,029.50x = 270,191,520,200.25
  5. Step 5: Solve for x
    x = 270,191,520,200.25/245,029.50
  6. Step 6: Final answer
    x = 1,102,689.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.