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Finding the Third Proportional to 297,359 and 478,793

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Solution

The third proportional to 297,359 and 478,793 is: 770,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,359 : 478,793 = 478,793 : x
  2. Step 2: Convert to fraction form
    297,359/478,793 = 478,793/x
  3. Step 3: Cross multiply
    297,359x = 478,793 × 478,793
  4. Step 4: Simplify right side
    297,359x = 229,242,736,849
  5. Step 5: Solve for x
    x = 229,242,736,849/297,359
  6. Step 6: Final answer
    x = 770,929.20

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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.