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Finding the Third Proportional to 306,524 and 654,952

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Solution

The third proportional to 306,524 and 654,952 is: 1,399,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,524 : 654,952 = 654,952 : x
  2. Step 2: Convert to fraction form
    306,524/654,952 = 654,952/x
  3. Step 3: Cross multiply
    306,524x = 654,952 × 654,952
  4. Step 4: Simplify right side
    306,524x = 428,962,122,304
  5. Step 5: Solve for x
    x = 428,962,122,304/306,524
  6. Step 6: Final answer
    x = 1,399,440.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.