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Finding the Third Proportional to 566,032 and 856,328

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Solution

The third proportional to 566,032 and 856,328 is: 1,295,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,032 : 856,328 = 856,328 : x
  2. Step 2: Convert to fraction form
    566,032/856,328 = 856,328/x
  3. Step 3: Cross multiply
    566,032x = 856,328 × 856,328
  4. Step 4: Simplify right side
    566,032x = 733,297,643,584
  5. Step 5: Solve for x
    x = 733,297,643,584/566,032
  6. Step 6: Final answer
    x = 1,295,505.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.