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Finding the Third Proportional to 270,994.50 and 402,562.50

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Solution

The third proportional to 270,994.50 and 402,562.50 is: 598,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,994.50 : 402,562.50 = 402,562.50 : x
  2. Step 2: Convert to fraction form
    270,994.50/402,562.50 = 402,562.50/x
  3. Step 3: Cross multiply
    270,994.50x = 402,562.50 × 402,562.50
  4. Step 4: Simplify right side
    270,994.50x = 162,056,566,406.25
  5. Step 5: Solve for x
    x = 162,056,566,406.25/270,994.50
  6. Step 6: Final answer
    x = 598,006.85

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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.