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Finding the Third Proportional to 261,922 and 571,821

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Solution

The third proportional to 261,922 and 571,821 is: 1,248,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,922 : 571,821 = 571,821 : x
  2. Step 2: Convert to fraction form
    261,922/571,821 = 571,821/x
  3. Step 3: Cross multiply
    261,922x = 571,821 × 571,821
  4. Step 4: Simplify right side
    261,922x = 326,979,256,041
  5. Step 5: Solve for x
    x = 326,979,256,041/261,922
  6. Step 6: Final answer
    x = 1,248,384.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.