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Finding the Third Proportional to 305,294 and 467,031

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Solution

The third proportional to 305,294 and 467,031 is: 714,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,294 : 467,031 = 467,031 : x
  2. Step 2: Convert to fraction form
    305,294/467,031 = 467,031/x
  3. Step 3: Cross multiply
    305,294x = 467,031 × 467,031
  4. Step 4: Simplify right side
    305,294x = 218,117,954,961
  5. Step 5: Solve for x
    x = 218,117,954,961/305,294
  6. Step 6: Final answer
    x = 714,452.15

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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.