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Finding the Third Proportional to 305,376 and 655,896

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Solution

The third proportional to 305,376 and 655,896 is: 1,408,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,376 : 655,896 = 655,896 : x
  2. Step 2: Convert to fraction form
    305,376/655,896 = 655,896/x
  3. Step 3: Cross multiply
    305,376x = 655,896 × 655,896
  4. Step 4: Simplify right side
    305,376x = 430,199,562,816
  5. Step 5: Solve for x
    x = 430,199,562,816/305,376
  6. Step 6: Final answer
    x = 1,408,753.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.