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Finding the Third Proportional to 284,226 and 616,686

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Solution

The third proportional to 284,226 and 616,686 is: 1,338,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,226 : 616,686 = 616,686 : x
  2. Step 2: Convert to fraction form
    284,226/616,686 = 616,686/x
  3. Step 3: Cross multiply
    284,226x = 616,686 × 616,686
  4. Step 4: Simplify right side
    284,226x = 380,301,622,596
  5. Step 5: Solve for x
    x = 380,301,622,596/284,226
  6. Step 6: Final answer
    x = 1,338,025.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.