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Finding the Third Proportional to 285,856 and 627,008

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Solution

The third proportional to 285,856 and 627,008 is: 1,375,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,856 : 627,008 = 627,008 : x
  2. Step 2: Convert to fraction form
    285,856/627,008 = 627,008/x
  3. Step 3: Cross multiply
    285,856x = 627,008 × 627,008
  4. Step 4: Simplify right side
    285,856x = 393,139,032,064
  5. Step 5: Solve for x
    x = 393,139,032,064/285,856
  6. Step 6: Final answer
    x = 1,375,304.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.