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Finding the Third Proportional to 315,885 and 745,697.25

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Solution

The third proportional to 315,885 and 745,697.25 is: 1,760,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,885 : 745,697.25 = 745,697.25 : x
  2. Step 2: Convert to fraction form
    315,885/745,697.25 = 745,697.25/x
  3. Step 3: Cross multiply
    315,885x = 745,697.25 × 745,697.25
  4. Step 4: Simplify right side
    315,885x = 556,064,388,657.56
  5. Step 5: Solve for x
    x = 556,064,388,657.56/315,885
  6. Step 6: Final answer
    x = 1,760,338.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.