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Finding the Third Proportional to 261,922 and 571,822

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Solution

The third proportional to 261,922 and 571,822 is: 1,248,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,922 : 571,822 = 571,822 : x
  2. Step 2: Convert to fraction form
    261,922/571,822 = 571,822/x
  3. Step 3: Cross multiply
    261,922x = 571,822 × 571,822
  4. Step 4: Simplify right side
    261,922x = 326,980,399,684
  5. Step 5: Solve for x
    x = 326,980,399,684/261,922
  6. Step 6: Final answer
    x = 1,248,388.45

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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.