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Finding the Third Proportional to 349,770 and 766,126

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Solution

The third proportional to 349,770 and 766,126 is: 1,678,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,770 : 766,126 = 766,126 : x
  2. Step 2: Convert to fraction form
    349,770/766,126 = 766,126/x
  3. Step 3: Cross multiply
    349,770x = 766,126 × 766,126
  4. Step 4: Simplify right side
    349,770x = 586,949,047,876
  5. Step 5: Solve for x
    x = 586,949,047,876/349,770
  6. Step 6: Final answer
    x = 1,678,100.03

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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.