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Finding the Third Proportional to 393,670.13 and 590,371.03

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Solution

The third proportional to 393,670.13 and 590,371.03 is: 885,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,670.13 : 590,371.03 = 590,371.03 : x
  2. Step 2: Convert to fraction form
    393,670.13/590,371.03 = 590,371.03/x
  3. Step 3: Cross multiply
    393,670.13x = 590,371.03 × 590,371.03
  4. Step 4: Simplify right side
    393,670.13x = 348,537,954,539.19
  5. Step 5: Solve for x
    x = 348,537,954,539.19/393,670.13
  6. Step 6: Final answer
    x = 885,355.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.