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Finding the Third Proportional to 297,846 and 604,332

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Solution

The third proportional to 297,846 and 604,332 is: 1,226,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,846 : 604,332 = 604,332 : x
  2. Step 2: Convert to fraction form
    297,846/604,332 = 604,332/x
  3. Step 3: Cross multiply
    297,846x = 604,332 × 604,332
  4. Step 4: Simplify right side
    297,846x = 365,217,166,224
  5. Step 5: Solve for x
    x = 365,217,166,224/297,846
  6. Step 6: Final answer
    x = 1,226,194.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.