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Finding the Third Proportional to 518,496 and 1,078,378.50

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Solution

The third proportional to 518,496 and 1,078,378.50 is: 2,242,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,496 : 1,078,378.50 = 1,078,378.50 : x
  2. Step 2: Convert to fraction form
    518,496/1,078,378.50 = 1,078,378.50/x
  3. Step 3: Cross multiply
    518,496x = 1,078,378.50 × 1,078,378.50
  4. Step 4: Simplify right side
    518,496x = 1,162,900,189,262.25
  5. Step 5: Solve for x
    x = 1,162,900,189,262.25/518,496
  6. Step 6: Final answer
    x = 2,242,833.48

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.