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Finding the Third Proportional to 517,099.50 and 1,117,345.50

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Solution

The third proportional to 517,099.50 and 1,117,345.50 is: 2,414,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,099.50 : 1,117,345.50 = 1,117,345.50 : x
  2. Step 2: Convert to fraction form
    517,099.50/1,117,345.50 = 1,117,345.50/x
  3. Step 3: Cross multiply
    517,099.50x = 1,117,345.50 × 1,117,345.50
  4. Step 4: Simplify right side
    517,099.50x = 1,248,460,966,370.25
  5. Step 5: Solve for x
    x = 1,248,460,966,370.25/517,099.50
  6. Step 6: Final answer
    x = 2,414,353.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.