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Finding the Third Proportional to 259,964 and 569,576

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Solution

The third proportional to 259,964 and 569,576 is: 1,247,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,964 : 569,576 = 569,576 : x
  2. Step 2: Convert to fraction form
    259,964/569,576 = 569,576/x
  3. Step 3: Cross multiply
    259,964x = 569,576 × 569,576
  4. Step 4: Simplify right side
    259,964x = 324,416,819,776
  5. Step 5: Solve for x
    x = 324,416,819,776/259,964
  6. Step 6: Final answer
    x = 1,247,929.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.