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Finding the Third Proportional to 526,252 and 769,399

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Solution

The third proportional to 526,252 and 769,399 is: 1,124,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,252 : 769,399 = 769,399 : x
  2. Step 2: Convert to fraction form
    526,252/769,399 = 769,399/x
  3. Step 3: Cross multiply
    526,252x = 769,399 × 769,399
  4. Step 4: Simplify right side
    526,252x = 591,974,821,201
  5. Step 5: Solve for x
    x = 591,974,821,201/526,252
  6. Step 6: Final answer
    x = 1,124,888.50

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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.