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Finding the Third Proportional to 526,480.50 and 769,977

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Solution

The third proportional to 526,480.50 and 769,977 is: 1,126,090.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,480.50 : 769,977 = 769,977 : x
  2. Step 2: Convert to fraction form
    526,480.50/769,977 = 769,977/x
  3. Step 3: Cross multiply
    526,480.50x = 769,977 × 769,977
  4. Step 4: Simplify right side
    526,480.50x = 592,864,580,529
  5. Step 5: Solve for x
    x = 592,864,580,529/526,480.50
  6. Step 6: Final answer
    x = 1,126,090.29

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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.