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Finding the Third Proportional to 349,050 and 753,802

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Solution

The third proportional to 349,050 and 753,802 is: 1,627,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,050 : 753,802 = 753,802 : x
  2. Step 2: Convert to fraction form
    349,050/753,802 = 753,802/x
  3. Step 3: Cross multiply
    349,050x = 753,802 × 753,802
  4. Step 4: Simplify right side
    349,050x = 568,217,455,204
  5. Step 5: Solve for x
    x = 568,217,455,204/349,050
  6. Step 6: Final answer
    x = 1,627,897.02

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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.