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Finding the Third Proportional to 292,228 and 631,016

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Solution

The third proportional to 292,228 and 631,016 is: 1,362,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,228 : 631,016 = 631,016 : x
  2. Step 2: Convert to fraction form
    292,228/631,016 = 631,016/x
  3. Step 3: Cross multiply
    292,228x = 631,016 × 631,016
  4. Step 4: Simplify right side
    292,228x = 398,181,192,256
  5. Step 5: Solve for x
    x = 398,181,192,256/292,228
  6. Step 6: Final answer
    x = 1,362,570.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.