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Finding the Third Proportional to 350,111 and 713,058

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Solution

The third proportional to 350,111 and 713,058 is: 1,452,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,111 : 713,058 = 713,058 : x
  2. Step 2: Convert to fraction form
    350,111/713,058 = 713,058/x
  3. Step 3: Cross multiply
    350,111x = 713,058 × 713,058
  4. Step 4: Simplify right side
    350,111x = 508,451,711,364
  5. Step 5: Solve for x
    x = 508,451,711,364/350,111
  6. Step 6: Final answer
    x = 1,452,258.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.