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Finding the Third Proportional to 394,971 and 564,417

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Solution

The third proportional to 394,971 and 564,417 is: 806,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,971 : 564,417 = 564,417 : x
  2. Step 2: Convert to fraction form
    394,971/564,417 = 564,417/x
  3. Step 3: Cross multiply
    394,971x = 564,417 × 564,417
  4. Step 4: Simplify right side
    394,971x = 318,566,549,889
  5. Step 5: Solve for x
    x = 318,566,549,889/394,971
  6. Step 6: Final answer
    x = 806,556.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.