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Finding the Third Proportional to 288,864 and 446,408

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Solution

The third proportional to 288,864 and 446,408 is: 689,875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,864 : 446,408 = 446,408 : x
  2. Step 2: Convert to fraction form
    288,864/446,408 = 446,408/x
  3. Step 3: Cross multiply
    288,864x = 446,408 × 446,408
  4. Step 4: Simplify right side
    288,864x = 199,280,102,464
  5. Step 5: Solve for x
    x = 199,280,102,464/288,864
  6. Step 6: Final answer
    x = 689,875.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.