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Finding the Third Proportional to 520,000 and 783,689

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Solution

The third proportional to 520,000 and 783,689 is: 1,181,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,000 : 783,689 = 783,689 : x
  2. Step 2: Convert to fraction form
    520,000/783,689 = 783,689/x
  3. Step 3: Cross multiply
    520,000x = 783,689 × 783,689
  4. Step 4: Simplify right side
    520,000x = 614,168,448,721
  5. Step 5: Solve for x
    x = 614,168,448,721/520,000
  6. Step 6: Final answer
    x = 1,181,093.17

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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.