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Finding the Third Proportional to 310,182.75 and 474,396.75

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Solution

The third proportional to 310,182.75 and 474,396.75 is: 725,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,182.75 : 474,396.75 = 474,396.75 : x
  2. Step 2: Convert to fraction form
    310,182.75/474,396.75 = 474,396.75/x
  3. Step 3: Cross multiply
    310,182.75x = 474,396.75 × 474,396.75
  4. Step 4: Simplify right side
    310,182.75x = 225,052,276,410.56
  5. Step 5: Solve for x
    x = 225,052,276,410.56/310,182.75
  6. Step 6: Final answer
    x = 725,547.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.