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Finding the Third Proportional to 568,528 and 851,917

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Solution

The third proportional to 568,528 and 851,917 is: 1,276,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,528 : 851,917 = 851,917 : x
  2. Step 2: Convert to fraction form
    568,528/851,917 = 851,917/x
  3. Step 3: Cross multiply
    568,528x = 851,917 × 851,917
  4. Step 4: Simplify right side
    568,528x = 725,762,574,889
  5. Step 5: Solve for x
    x = 725,762,574,889/568,528
  6. Step 6: Final answer
    x = 1,276,564.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.