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Finding the Third Proportional to 310,449 and 474,584

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Solution

The third proportional to 310,449 and 474,584 is: 725,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,449 : 474,584 = 474,584 : x
  2. Step 2: Convert to fraction form
    310,449/474,584 = 474,584/x
  3. Step 3: Cross multiply
    310,449x = 474,584 × 474,584
  4. Step 4: Simplify right side
    310,449x = 225,229,973,056
  5. Step 5: Solve for x
    x = 225,229,973,056/310,449
  6. Step 6: Final answer
    x = 725,497.50

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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.