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Finding the Third Proportional to 262,710 and 569,452

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Solution

The third proportional to 262,710 and 569,452 is: 1,234,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,710 : 569,452 = 569,452 : x
  2. Step 2: Convert to fraction form
    262,710/569,452 = 569,452/x
  3. Step 3: Cross multiply
    262,710x = 569,452 × 569,452
  4. Step 4: Simplify right side
    262,710x = 324,275,580,304
  5. Step 5: Solve for x
    x = 324,275,580,304/262,710
  6. Step 6: Final answer
    x = 1,234,348.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.