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Finding the Third Proportional to 305,252 and 466,952

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Solution

The third proportional to 305,252 and 466,952 is: 714,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,252 : 466,952 = 466,952 : x
  2. Step 2: Convert to fraction form
    305,252/466,952 = 466,952/x
  3. Step 3: Cross multiply
    305,252x = 466,952 × 466,952
  4. Step 4: Simplify right side
    305,252x = 218,044,170,304
  5. Step 5: Solve for x
    x = 218,044,170,304/305,252
  6. Step 6: Final answer
    x = 714,308.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.