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Finding the Third Proportional to 323,519 and 702,927

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Solution

The third proportional to 323,519 and 702,927 is: 1,527,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,519 : 702,927 = 702,927 : x
  2. Step 2: Convert to fraction form
    323,519/702,927 = 702,927/x
  3. Step 3: Cross multiply
    323,519x = 702,927 × 702,927
  4. Step 4: Simplify right side
    323,519x = 494,106,367,329
  5. Step 5: Solve for x
    x = 494,106,367,329/323,519
  6. Step 6: Final answer
    x = 1,527,287.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.