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Finding the Third Proportional to 351,118.13 and 514,171.13

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Solution

The third proportional to 351,118.13 and 514,171.13 is: 752,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,118.13 : 514,171.13 = 514,171.13 : x
  2. Step 2: Convert to fraction form
    351,118.13/514,171.13 = 514,171.13/x
  3. Step 3: Cross multiply
    351,118.13x = 514,171.13 × 514,171.13
  4. Step 4: Simplify right side
    351,118.13x = 264,371,945,783.77
  5. Step 5: Solve for x
    x = 264,371,945,783.77/351,118.13
  6. Step 6: Final answer
    x = 752,943.03

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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.