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Finding the Third Proportional to 510,815.25 and 1,074,562.50

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Solution

The third proportional to 510,815.25 and 1,074,562.50 is: 2,260,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,815.25 : 1,074,562.50 = 1,074,562.50 : x
  2. Step 2: Convert to fraction form
    510,815.25/1,074,562.50 = 1,074,562.50/x
  3. Step 3: Cross multiply
    510,815.25x = 1,074,562.50 × 1,074,562.50
  4. Step 4: Simplify right side
    510,815.25x = 1,154,684,566,406.25
  5. Step 5: Solve for x
    x = 1,154,684,566,406.25/510,815.25
  6. Step 6: Final answer
    x = 2,260,473.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.