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Finding the Third Proportional to 375,532 and 814,770

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Solution

The third proportional to 375,532 and 814,770 is: 1,767,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,532 : 814,770 = 814,770 : x
  2. Step 2: Convert to fraction form
    375,532/814,770 = 814,770/x
  3. Step 3: Cross multiply
    375,532x = 814,770 × 814,770
  4. Step 4: Simplify right side
    375,532x = 663,850,152,900
  5. Step 5: Solve for x
    x = 663,850,152,900/375,532
  6. Step 6: Final answer
    x = 1,767,759.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.