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Finding the Third Proportional to 349,770 and 773,048

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Solution

The third proportional to 349,770 and 773,048 is: 1,708,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,770 : 773,048 = 773,048 : x
  2. Step 2: Convert to fraction form
    349,770/773,048 = 773,048/x
  3. Step 3: Cross multiply
    349,770x = 773,048 × 773,048
  4. Step 4: Simplify right side
    349,770x = 597,603,210,304
  5. Step 5: Solve for x
    x = 597,603,210,304/349,770
  6. Step 6: Final answer
    x = 1,708,560.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.