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Finding the Third Proportional to 557,300 and 834,652

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Solution

The third proportional to 557,300 and 834,652 is: 1,250,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,300 : 834,652 = 834,652 : x
  2. Step 2: Convert to fraction form
    557,300/834,652 = 834,652/x
  3. Step 3: Cross multiply
    557,300x = 834,652 × 834,652
  4. Step 4: Simplify right side
    557,300x = 696,643,961,104
  5. Step 5: Solve for x
    x = 696,643,961,104/557,300
  6. Step 6: Final answer
    x = 1,250,034.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.