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Finding the Third Proportional to 633,973 and 928,200

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Solution

The third proportional to 633,973 and 928,200 is: 1,358,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,973 : 928,200 = 928,200 : x
  2. Step 2: Convert to fraction form
    633,973/928,200 = 928,200/x
  3. Step 3: Cross multiply
    633,973x = 928,200 × 928,200
  4. Step 4: Simplify right side
    633,973x = 861,555,240,000
  5. Step 5: Solve for x
    x = 861,555,240,000/633,973
  6. Step 6: Final answer
    x = 1,358,977.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.