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Finding the Third Proportional to 517,707 and 1,112,257.50

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Solution

The third proportional to 517,707 and 1,112,257.50 is: 2,389,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,707 : 1,112,257.50 = 1,112,257.50 : x
  2. Step 2: Convert to fraction form
    517,707/1,112,257.50 = 1,112,257.50/x
  3. Step 3: Cross multiply
    517,707x = 1,112,257.50 × 1,112,257.50
  4. Step 4: Simplify right side
    517,707x = 1,237,116,746,306.25
  5. Step 5: Solve for x
    x = 1,237,116,746,306.25/517,707
  6. Step 6: Final answer
    x = 2,389,607.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.