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Finding the Third Proportional to 297,854 and 604,348

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Solution

The third proportional to 297,854 and 604,348 is: 1,226,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,854 : 604,348 = 604,348 : x
  2. Step 2: Convert to fraction form
    297,854/604,348 = 604,348/x
  3. Step 3: Cross multiply
    297,854x = 604,348 × 604,348
  4. Step 4: Simplify right side
    297,854x = 365,236,505,104
  5. Step 5: Solve for x
    x = 365,236,505,104/297,854
  6. Step 6: Final answer
    x = 1,226,226.62

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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.