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Finding the Third Proportional to 514,009.50 and 1,113,826.50

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Solution

The third proportional to 514,009.50 and 1,113,826.50 is: 2,413,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,009.50 : 1,113,826.50 = 1,113,826.50 : x
  2. Step 2: Convert to fraction form
    514,009.50/1,113,826.50 = 1,113,826.50/x
  3. Step 3: Cross multiply
    514,009.50x = 1,113,826.50 × 1,113,826.50
  4. Step 4: Simplify right side
    514,009.50x = 1,240,609,472,102.25
  5. Step 5: Solve for x
    x = 1,240,609,472,102.25/514,009.50
  6. Step 6: Final answer
    x = 2,413,592.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.