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Finding the Third Proportional to 263,114 and 578,714

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Solution

The third proportional to 263,114 and 578,714 is: 1,272,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,114 : 578,714 = 578,714 : x
  2. Step 2: Convert to fraction form
    263,114/578,714 = 578,714/x
  3. Step 3: Cross multiply
    263,114x = 578,714 × 578,714
  4. Step 4: Simplify right side
    263,114x = 334,909,893,796
  5. Step 5: Solve for x
    x = 334,909,893,796/263,114
  6. Step 6: Final answer
    x = 1,272,869.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.