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Finding the Third Proportional to 349,564 and 765,823

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Solution

The third proportional to 349,564 and 765,823 is: 1,677,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,564 : 765,823 = 765,823 : x
  2. Step 2: Convert to fraction form
    349,564/765,823 = 765,823/x
  3. Step 3: Cross multiply
    349,564x = 765,823 × 765,823
  4. Step 4: Simplify right side
    349,564x = 586,484,867,329
  5. Step 5: Solve for x
    x = 586,484,867,329/349,564
  6. Step 6: Final answer
    x = 1,677,761.06

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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.