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Finding the Third Proportional to 295,909.88 and 457,677

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Solution

The third proportional to 295,909.88 and 457,677 is: 707,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,909.88 : 457,677 = 457,677 : x
  2. Step 2: Convert to fraction form
    295,909.88/457,677 = 457,677/x
  3. Step 3: Cross multiply
    295,909.88x = 457,677 × 457,677
  4. Step 4: Simplify right side
    295,909.88x = 209,468,236,329
  5. Step 5: Solve for x
    x = 209,468,236,329/295,909.88
  6. Step 6: Final answer
    x = 707,878.49

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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.