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Finding the Third Proportional to 417,714 and 857,562

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Solution

The third proportional to 417,714 and 857,562 is: 1,760,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,714 : 857,562 = 857,562 : x
  2. Step 2: Convert to fraction form
    417,714/857,562 = 857,562/x
  3. Step 3: Cross multiply
    417,714x = 857,562 × 857,562
  4. Step 4: Simplify right side
    417,714x = 735,412,583,844
  5. Step 5: Solve for x
    x = 735,412,583,844/417,714
  6. Step 6: Final answer
    x = 1,760,564.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.