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Finding the Third Proportional to 298,216 and 460,734

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Solution

The third proportional to 298,216 and 460,734 is: 711,819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,216 : 460,734 = 460,734 : x
  2. Step 2: Convert to fraction form
    298,216/460,734 = 460,734/x
  3. Step 3: Cross multiply
    298,216x = 460,734 × 460,734
  4. Step 4: Simplify right side
    298,216x = 212,275,818,756
  5. Step 5: Solve for x
    x = 212,275,818,756/298,216
  6. Step 6: Final answer
    x = 711,819.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.