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Finding the Third Proportional to 297,456 and 579,967

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Solution

The third proportional to 297,456 and 579,967 is: 1,130,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,456 : 579,967 = 579,967 : x
  2. Step 2: Convert to fraction form
    297,456/579,967 = 579,967/x
  3. Step 3: Cross multiply
    297,456x = 579,967 × 579,967
  4. Step 4: Simplify right side
    297,456x = 336,361,721,089
  5. Step 5: Solve for x
    x = 336,361,721,089/297,456
  6. Step 6: Final answer
    x = 1,130,794.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.