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Finding the Third Proportional to 393,927 and 590,746

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Solution

The third proportional to 393,927 and 590,746 is: 885,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,927 : 590,746 = 590,746 : x
  2. Step 2: Convert to fraction form
    393,927/590,746 = 590,746/x
  3. Step 3: Cross multiply
    393,927x = 590,746 × 590,746
  4. Step 4: Simplify right side
    393,927x = 348,980,836,516
  5. Step 5: Solve for x
    x = 348,980,836,516/393,927
  6. Step 6: Final answer
    x = 885,902.30

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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.