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Finding the Third Proportional to 305,222 and 466,905

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Solution

The third proportional to 305,222 and 466,905 is: 714,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,222 : 466,905 = 466,905 : x
  2. Step 2: Convert to fraction form
    305,222/466,905 = 466,905/x
  3. Step 3: Cross multiply
    305,222x = 466,905 × 466,905
  4. Step 4: Simplify right side
    305,222x = 218,000,279,025
  5. Step 5: Solve for x
    x = 218,000,279,025/305,222
  6. Step 6: Final answer
    x = 714,235.14

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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.