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Finding the Third Proportional to 593,974 and 787,616

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Solution

The third proportional to 593,974 and 787,616 is: 1,044,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,974 : 787,616 = 787,616 : x
  2. Step 2: Convert to fraction form
    593,974/787,616 = 787,616/x
  3. Step 3: Cross multiply
    593,974x = 787,616 × 787,616
  4. Step 4: Simplify right side
    593,974x = 620,338,963,456
  5. Step 5: Solve for x
    x = 620,338,963,456/593,974
  6. Step 6: Final answer
    x = 1,044,387.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.