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Finding the Third Proportional to 297,840 and 604,320

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Solution

The third proportional to 297,840 and 604,320 is: 1,226,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,840 : 604,320 = 604,320 : x
  2. Step 2: Convert to fraction form
    297,840/604,320 = 604,320/x
  3. Step 3: Cross multiply
    297,840x = 604,320 × 604,320
  4. Step 4: Simplify right side
    297,840x = 365,202,662,400
  5. Step 5: Solve for x
    x = 365,202,662,400/297,840
  6. Step 6: Final answer
    x = 1,226,170.64

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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.