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Finding the Third Proportional to 514,012.50 and 1,113,828.75

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Solution

The third proportional to 514,012.50 and 1,113,828.75 is: 2,413,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,012.50 : 1,113,828.75 = 1,113,828.75 : x
  2. Step 2: Convert to fraction form
    514,012.50/1,113,828.75 = 1,113,828.75/x
  3. Step 3: Cross multiply
    514,012.50x = 1,113,828.75 × 1,113,828.75
  4. Step 4: Simplify right side
    514,012.50x = 1,240,614,484,326.56
  5. Step 5: Solve for x
    x = 1,240,614,484,326.56/514,012.50
  6. Step 6: Final answer
    x = 2,413,588.16

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Why These Related Problems?

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