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Finding the Third Proportional to 388,904 and 588,789

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Solution

The third proportional to 388,904 and 588,789 is: 891,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,904 : 588,789 = 588,789 : x
  2. Step 2: Convert to fraction form
    388,904/588,789 = 588,789/x
  3. Step 3: Cross multiply
    388,904x = 588,789 × 588,789
  4. Step 4: Simplify right side
    388,904x = 346,672,486,521
  5. Step 5: Solve for x
    x = 346,672,486,521/388,904
  6. Step 6: Final answer
    x = 891,408.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.