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Finding the Third Proportional to 349,106 and 753,928

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Solution

The third proportional to 349,106 and 753,928 is: 1,628,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,106 : 753,928 = 753,928 : x
  2. Step 2: Convert to fraction form
    349,106/753,928 = 753,928/x
  3. Step 3: Cross multiply
    349,106x = 753,928 × 753,928
  4. Step 4: Simplify right side
    349,106x = 568,407,429,184
  5. Step 5: Solve for x
    x = 568,407,429,184/349,106
  6. Step 6: Final answer
    x = 1,628,180.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.