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Finding the Third Proportional to 454,228 and 705,329

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Solution

The third proportional to 454,228 and 705,329 is: 1,095,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,228 : 705,329 = 705,329 : x
  2. Step 2: Convert to fraction form
    454,228/705,329 = 705,329/x
  3. Step 3: Cross multiply
    454,228x = 705,329 × 705,329
  4. Step 4: Simplify right side
    454,228x = 497,488,998,241
  5. Step 5: Solve for x
    x = 497,488,998,241/454,228
  6. Step 6: Final answer
    x = 1,095,240.71

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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.