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Finding the Third Proportional to 297,608 and 464,460

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Solution

The third proportional to 297,608 and 464,460 is: 724,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,608 : 464,460 = 464,460 : x
  2. Step 2: Convert to fraction form
    297,608/464,460 = 464,460/x
  3. Step 3: Cross multiply
    297,608x = 464,460 × 464,460
  4. Step 4: Simplify right side
    297,608x = 215,723,091,600
  5. Step 5: Solve for x
    x = 215,723,091,600/297,608
  6. Step 6: Final answer
    x = 724,856.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.