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Finding the Third Proportional to 595,197 and 850,797

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Solution

The third proportional to 595,197 and 850,797 is: 1,216,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,197 : 850,797 = 850,797 : x
  2. Step 2: Convert to fraction form
    595,197/850,797 = 850,797/x
  3. Step 3: Cross multiply
    595,197x = 850,797 × 850,797
  4. Step 4: Simplify right side
    595,197x = 723,855,535,209
  5. Step 5: Solve for x
    x = 723,855,535,209/595,197
  6. Step 6: Final answer
    x = 1,216,161.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.