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Finding the Third Proportional to 345,384 and 771,066

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Solution

The third proportional to 345,384 and 771,066 is: 1,721,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,384 : 771,066 = 771,066 : x
  2. Step 2: Convert to fraction form
    345,384/771,066 = 771,066/x
  3. Step 3: Cross multiply
    345,384x = 771,066 × 771,066
  4. Step 4: Simplify right side
    345,384x = 594,542,776,356
  5. Step 5: Solve for x
    x = 594,542,776,356/345,384
  6. Step 6: Final answer
    x = 1,721,396.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.