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Finding the Third Proportional to 295,908 and 457,672

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Solution

The third proportional to 295,908 and 457,672 is: 707,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,908 : 457,672 = 457,672 : x
  2. Step 2: Convert to fraction form
    295,908/457,672 = 457,672/x
  3. Step 3: Cross multiply
    295,908x = 457,672 × 457,672
  4. Step 4: Simplify right side
    295,908x = 209,463,659,584
  5. Step 5: Solve for x
    x = 209,463,659,584/295,908
  6. Step 6: Final answer
    x = 707,867.51

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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.