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Finding the Third Proportional to 315,080 and 691,391.50

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Solution

The third proportional to 315,080 and 691,391.50 is: 1,517,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,080 : 691,391.50 = 691,391.50 : x
  2. Step 2: Convert to fraction form
    315,080/691,391.50 = 691,391.50/x
  3. Step 3: Cross multiply
    315,080x = 691,391.50 × 691,391.50
  4. Step 4: Simplify right side
    315,080x = 478,022,206,272.25
  5. Step 5: Solve for x
    x = 478,022,206,272.25/315,080
  6. Step 6: Final answer
    x = 1,517,145.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.