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Finding the Third Proportional to 239,602 and 569,764

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Solution

The third proportional to 239,602 and 569,764 is: 1,354,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,602 : 569,764 = 569,764 : x
  2. Step 2: Convert to fraction form
    239,602/569,764 = 569,764/x
  3. Step 3: Cross multiply
    239,602x = 569,764 × 569,764
  4. Step 4: Simplify right side
    239,602x = 324,631,015,696
  5. Step 5: Solve for x
    x = 324,631,015,696/239,602
  6. Step 6: Final answer
    x = 1,354,876.07

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.