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Finding the Third Proportional to 239,598 and 569,754

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Solution

The third proportional to 239,598 and 569,754 is: 1,354,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,598 : 569,754 = 569,754 : x
  2. Step 2: Convert to fraction form
    239,598/569,754 = 569,754/x
  3. Step 3: Cross multiply
    239,598x = 569,754 × 569,754
  4. Step 4: Simplify right side
    239,598x = 324,619,620,516
  5. Step 5: Solve for x
    x = 324,619,620,516/239,598
  6. Step 6: Final answer
    x = 1,354,851.13

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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.