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Finding the Third Proportional to 305,234 and 466,959

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Solution

The third proportional to 305,234 and 466,959 is: 714,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,234 : 466,959 = 466,959 : x
  2. Step 2: Convert to fraction form
    305,234/466,959 = 466,959/x
  3. Step 3: Cross multiply
    305,234x = 466,959 × 466,959
  4. Step 4: Simplify right side
    305,234x = 218,050,707,681
  5. Step 5: Solve for x
    x = 218,050,707,681/305,234
  6. Step 6: Final answer
    x = 714,372.28

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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.