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Finding the Third Proportional to 297,401 and 460,659

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Solution

The third proportional to 297,401 and 460,659 is: 713,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,401 : 460,659 = 460,659 : x
  2. Step 2: Convert to fraction form
    297,401/460,659 = 460,659/x
  3. Step 3: Cross multiply
    297,401x = 460,659 × 460,659
  4. Step 4: Simplify right side
    297,401x = 212,206,714,281
  5. Step 5: Solve for x
    x = 212,206,714,281/297,401
  6. Step 6: Final answer
    x = 713,537.33

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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.