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Finding the Third Proportional to 268,202 and 575,347

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Solution

The third proportional to 268,202 and 575,347 is: 1,234,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,202 : 575,347 = 575,347 : x
  2. Step 2: Convert to fraction form
    268,202/575,347 = 575,347/x
  3. Step 3: Cross multiply
    268,202x = 575,347 × 575,347
  4. Step 4: Simplify right side
    268,202x = 331,024,170,409
  5. Step 5: Solve for x
    x = 331,024,170,409/268,202
  6. Step 6: Final answer
    x = 1,234,234.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.