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Finding the Third Proportional to 261,464 and 554,322

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Solution

The third proportional to 261,464 and 554,322 is: 1,175,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,464 : 554,322 = 554,322 : x
  2. Step 2: Convert to fraction form
    261,464/554,322 = 554,322/x
  3. Step 3: Cross multiply
    261,464x = 554,322 × 554,322
  4. Step 4: Simplify right side
    261,464x = 307,272,879,684
  5. Step 5: Solve for x
    x = 307,272,879,684/261,464
  6. Step 6: Final answer
    x = 1,175,201.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.