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Finding the Third Proportional to 442,215 and 1,039,531.50

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Solution

The third proportional to 442,215 and 1,039,531.50 is: 2,443,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,215 : 1,039,531.50 = 1,039,531.50 : x
  2. Step 2: Convert to fraction form
    442,215/1,039,531.50 = 1,039,531.50/x
  3. Step 3: Cross multiply
    442,215x = 1,039,531.50 × 1,039,531.50
  4. Step 4: Simplify right side
    442,215x = 1,080,625,739,492.25
  5. Step 5: Solve for x
    x = 1,080,625,739,492.25/442,215
  6. Step 6: Final answer
    x = 2,443,665.95

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.