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Finding the Third Proportional to 297,126 and 460,269

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Solution

The third proportional to 297,126 and 460,269 is: 712,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,126 : 460,269 = 460,269 : x
  2. Step 2: Convert to fraction form
    297,126/460,269 = 460,269/x
  3. Step 3: Cross multiply
    297,126x = 460,269 × 460,269
  4. Step 4: Simplify right side
    297,126x = 211,847,552,361
  5. Step 5: Solve for x
    x = 211,847,552,361/297,126
  6. Step 6: Final answer
    x = 712,988.94

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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.