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Finding the Third Proportional to 552,518 and 779,875

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Solution

The third proportional to 552,518 and 779,875 is: 1,100,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,518 : 779,875 = 779,875 : x
  2. Step 2: Convert to fraction form
    552,518/779,875 = 779,875/x
  3. Step 3: Cross multiply
    552,518x = 779,875 × 779,875
  4. Step 4: Simplify right side
    552,518x = 608,205,015,625
  5. Step 5: Solve for x
    x = 608,205,015,625/552,518
  6. Step 6: Final answer
    x = 1,100,787.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.