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Finding the Third Proportional to 352,228 and 767,312

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Solution

The third proportional to 352,228 and 767,312 is: 1,671,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,228 : 767,312 = 767,312 : x
  2. Step 2: Convert to fraction form
    352,228/767,312 = 767,312/x
  3. Step 3: Cross multiply
    352,228x = 767,312 × 767,312
  4. Step 4: Simplify right side
    352,228x = 588,767,705,344
  5. Step 5: Solve for x
    x = 588,767,705,344/352,228
  6. Step 6: Final answer
    x = 1,671,552.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.