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Finding the Third Proportional to 596,219 and 886,219

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Solution

The third proportional to 596,219 and 886,219 is: 1,317,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,219 : 886,219 = 886,219 : x
  2. Step 2: Convert to fraction form
    596,219/886,219 = 886,219/x
  3. Step 3: Cross multiply
    596,219x = 886,219 × 886,219
  4. Step 4: Simplify right side
    596,219x = 785,384,115,961
  5. Step 5: Solve for x
    x = 785,384,115,961/596,219
  6. Step 6: Final answer
    x = 1,317,274.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.