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Finding the Third Proportional to 310,284 and 474,450

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Solution

The third proportional to 310,284 and 474,450 is: 725,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,284 : 474,450 = 474,450 : x
  2. Step 2: Convert to fraction form
    310,284/474,450 = 474,450/x
  3. Step 3: Cross multiply
    310,284x = 474,450 × 474,450
  4. Step 4: Simplify right side
    310,284x = 225,102,802,500
  5. Step 5: Solve for x
    x = 225,102,802,500/310,284
  6. Step 6: Final answer
    x = 725,473.45

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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.