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Finding the Third Proportional to 349,743 and 766,075

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Solution

The third proportional to 349,743 and 766,075 is: 1,678,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,743 : 766,075 = 766,075 : x
  2. Step 2: Convert to fraction form
    349,743/766,075 = 766,075/x
  3. Step 3: Cross multiply
    349,743x = 766,075 × 766,075
  4. Step 4: Simplify right side
    349,743x = 586,870,905,625
  5. Step 5: Solve for x
    x = 586,870,905,625/349,743
  6. Step 6: Final answer
    x = 1,678,006.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.