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Finding the Third Proportional to 535,707 and 810,477

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Solution

The third proportional to 535,707 and 810,477 is: 1,226,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,707 : 810,477 = 810,477 : x
  2. Step 2: Convert to fraction form
    535,707/810,477 = 810,477/x
  3. Step 3: Cross multiply
    535,707x = 810,477 × 810,477
  4. Step 4: Simplify right side
    535,707x = 656,872,967,529
  5. Step 5: Solve for x
    x = 656,872,967,529/535,707
  6. Step 6: Final answer
    x = 1,226,179.55

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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.