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Finding the Third Proportional to 261,708 and 571,032

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Solution

The third proportional to 261,708 and 571,032 is: 1,245,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,708 : 571,032 = 571,032 : x
  2. Step 2: Convert to fraction form
    261,708/571,032 = 571,032/x
  3. Step 3: Cross multiply
    261,708x = 571,032 × 571,032
  4. Step 4: Simplify right side
    261,708x = 326,077,545,024
  5. Step 5: Solve for x
    x = 326,077,545,024/261,708
  6. Step 6: Final answer
    x = 1,245,959.41

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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.