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Finding the Third Proportional to 317,697 and 444,363

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Solution

The third proportional to 317,697 and 444,363 is: 621,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,697 : 444,363 = 444,363 : x
  2. Step 2: Convert to fraction form
    317,697/444,363 = 444,363/x
  3. Step 3: Cross multiply
    317,697x = 444,363 × 444,363
  4. Step 4: Simplify right side
    317,697x = 197,458,475,769
  5. Step 5: Solve for x
    x = 197,458,475,769/317,697
  6. Step 6: Final answer
    x = 621,530.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.