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Finding the Third Proportional to 386,328 and 614,724

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Solution

The third proportional to 386,328 and 614,724 is: 978,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,328 : 614,724 = 614,724 : x
  2. Step 2: Convert to fraction form
    386,328/614,724 = 614,724/x
  3. Step 3: Cross multiply
    386,328x = 614,724 × 614,724
  4. Step 4: Simplify right side
    386,328x = 377,885,596,176
  5. Step 5: Solve for x
    x = 377,885,596,176/386,328
  6. Step 6: Final answer
    x = 978,147.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.