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Finding the Third Proportional to 295,910 and 457,675

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Solution

The third proportional to 295,910 and 457,675 is: 707,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,910 : 457,675 = 457,675 : x
  2. Step 2: Convert to fraction form
    295,910/457,675 = 457,675/x
  3. Step 3: Cross multiply
    295,910x = 457,675 × 457,675
  4. Step 4: Simplify right side
    295,910x = 209,466,405,625
  5. Step 5: Solve for x
    x = 209,466,405,625/295,910
  6. Step 6: Final answer
    x = 707,872.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.