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Finding the Third Proportional to 349,042 and 753,786

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Solution

The third proportional to 349,042 and 753,786 is: 1,627,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,042 : 753,786 = 753,786 : x
  2. Step 2: Convert to fraction form
    349,042/753,786 = 753,786/x
  3. Step 3: Cross multiply
    349,042x = 753,786 × 753,786
  4. Step 4: Simplify right side
    349,042x = 568,193,333,796
  5. Step 5: Solve for x
    x = 568,193,333,796/349,042
  6. Step 6: Final answer
    x = 1,627,865.22

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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.