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Finding the Third Proportional to 349,267 and 765,603

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Solution

The third proportional to 349,267 and 765,603 is: 1,678,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,267 : 765,603 = 765,603 : x
  2. Step 2: Convert to fraction form
    349,267/765,603 = 765,603/x
  3. Step 3: Cross multiply
    349,267x = 765,603 × 765,603
  4. Step 4: Simplify right side
    349,267x = 586,147,953,609
  5. Step 5: Solve for x
    x = 586,147,953,609/349,267
  6. Step 6: Final answer
    x = 1,678,223.12

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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.