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Finding the Third Proportional to 393,905 and 590,709

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Solution

The third proportional to 393,905 and 590,709 is: 885,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,905 : 590,709 = 590,709 : x
  2. Step 2: Convert to fraction form
    393,905/590,709 = 590,709/x
  3. Step 3: Cross multiply
    393,905x = 590,709 × 590,709
  4. Step 4: Simplify right side
    393,905x = 348,937,122,681
  5. Step 5: Solve for x
    x = 348,937,122,681/393,905
  6. Step 6: Final answer
    x = 885,840.81

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