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Finding the Third Proportional to 552,893 and 834,412

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Solution

The third proportional to 552,893 and 834,412 is: 1,259,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,893 : 834,412 = 834,412 : x
  2. Step 2: Convert to fraction form
    552,893/834,412 = 834,412/x
  3. Step 3: Cross multiply
    552,893x = 834,412 × 834,412
  4. Step 4: Simplify right side
    552,893x = 696,243,385,744
  5. Step 5: Solve for x
    x = 696,243,385,744/552,893
  6. Step 6: Final answer
    x = 1,259,273.29

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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.