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Finding the Third Proportional to 285,286 and 602,408

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Solution

The third proportional to 285,286 and 602,408 is: 1,272,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,286 : 602,408 = 602,408 : x
  2. Step 2: Convert to fraction form
    285,286/602,408 = 602,408/x
  3. Step 3: Cross multiply
    285,286x = 602,408 × 602,408
  4. Step 4: Simplify right side
    285,286x = 362,895,398,464
  5. Step 5: Solve for x
    x = 362,895,398,464/285,286
  6. Step 6: Final answer
    x = 1,272,040.68

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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.