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Finding the Third Proportional to 514,980 and 754,035

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Solution

The third proportional to 514,980 and 754,035 is: 1,104,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,980 : 754,035 = 754,035 : x
  2. Step 2: Convert to fraction form
    514,980/754,035 = 754,035/x
  3. Step 3: Cross multiply
    514,980x = 754,035 × 754,035
  4. Step 4: Simplify right side
    514,980x = 568,568,781,225
  5. Step 5: Solve for x
    x = 568,568,781,225/514,980
  6. Step 6: Final answer
    x = 1,104,059.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.