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Finding the Third Proportional to 552,893.50 and 834,412.50

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Solution

The third proportional to 552,893.50 and 834,412.50 is: 1,259,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,893.50 : 834,412.50 = 834,412.50 : x
  2. Step 2: Convert to fraction form
    552,893.50/834,412.50 = 834,412.50/x
  3. Step 3: Cross multiply
    552,893.50x = 834,412.50 × 834,412.50
  4. Step 4: Simplify right side
    552,893.50x = 696,244,220,156.25
  5. Step 5: Solve for x
    x = 696,244,220,156.25/552,893.50
  6. Step 6: Final answer
    x = 1,259,273.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.