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Finding the Third Proportional to 297,648 and 460,296

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Solution

The third proportional to 297,648 and 460,296 is: 711,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,648 : 460,296 = 460,296 : x
  2. Step 2: Convert to fraction form
    297,648/460,296 = 460,296/x
  3. Step 3: Cross multiply
    297,648x = 460,296 × 460,296
  4. Step 4: Simplify right side
    297,648x = 211,872,407,616
  5. Step 5: Solve for x
    x = 211,872,407,616/297,648
  6. Step 6: Final answer
    x = 711,822.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.