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Finding the Third Proportional to 286,524 and 604,408

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Solution

The third proportional to 286,524 and 604,408 is: 1,274,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,524 : 604,408 = 604,408 : x
  2. Step 2: Convert to fraction form
    286,524/604,408 = 604,408/x
  3. Step 3: Cross multiply
    286,524x = 604,408 × 604,408
  4. Step 4: Simplify right side
    286,524x = 365,309,030,464
  5. Step 5: Solve for x
    x = 365,309,030,464/286,524
  6. Step 6: Final answer
    x = 1,274,968.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.