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Finding the Third Proportional to 297,363 and 478,797

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Solution

The third proportional to 297,363 and 478,797 is: 770,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,363 : 478,797 = 478,797 : x
  2. Step 2: Convert to fraction form
    297,363/478,797 = 478,797/x
  3. Step 3: Cross multiply
    297,363x = 478,797 × 478,797
  4. Step 4: Simplify right side
    297,363x = 229,246,567,209
  5. Step 5: Solve for x
    x = 229,246,567,209/297,363
  6. Step 6: Final answer
    x = 770,931.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.