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Finding the Third Proportional to 251,060 and 536,656

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Solution

The third proportional to 251,060 and 536,656 is: 1,147,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,060 : 536,656 = 536,656 : x
  2. Step 2: Convert to fraction form
    251,060/536,656 = 536,656/x
  3. Step 3: Cross multiply
    251,060x = 536,656 × 536,656
  4. Step 4: Simplify right side
    251,060x = 287,999,662,336
  5. Step 5: Solve for x
    x = 287,999,662,336/251,060
  6. Step 6: Final answer
    x = 1,147,134.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.