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Finding the Third Proportional to 256,698 and 599,758

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Solution

The third proportional to 256,698 and 599,758 is: 1,401,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,698 : 599,758 = 599,758 : x
  2. Step 2: Convert to fraction form
    256,698/599,758 = 599,758/x
  3. Step 3: Cross multiply
    256,698x = 599,758 × 599,758
  4. Step 4: Simplify right side
    256,698x = 359,709,658,564
  5. Step 5: Solve for x
    x = 359,709,658,564/256,698
  6. Step 6: Final answer
    x = 1,401,295.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.