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Finding the Third Proportional to 314,736 and 474,738

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Solution

The third proportional to 314,736 and 474,738 is: 716,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,736 : 474,738 = 474,738 : x
  2. Step 2: Convert to fraction form
    314,736/474,738 = 474,738/x
  3. Step 3: Cross multiply
    314,736x = 474,738 × 474,738
  4. Step 4: Simplify right side
    314,736x = 225,376,168,644
  5. Step 5: Solve for x
    x = 225,376,168,644/314,736
  6. Step 6: Final answer
    x = 716,080.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.