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Finding the Third Proportional to 873,200 and 1,304,408

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Solution

The third proportional to 873,200 and 1,304,408 is: 1,948,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,200 : 1,304,408 = 1,304,408 : x
  2. Step 2: Convert to fraction form
    873,200/1,304,408 = 1,304,408/x
  3. Step 3: Cross multiply
    873,200x = 1,304,408 × 1,304,408
  4. Step 4: Simplify right side
    873,200x = 1,701,480,230,464
  5. Step 5: Solve for x
    x = 1,701,480,230,464/873,200
  6. Step 6: Final answer
    x = 1,948,557.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.