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Finding the Third Proportional to 253,786 and 551,312

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Solution

The third proportional to 253,786 and 551,312 is: 1,197,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,786 : 551,312 = 551,312 : x
  2. Step 2: Convert to fraction form
    253,786/551,312 = 551,312/x
  3. Step 3: Cross multiply
    253,786x = 551,312 × 551,312
  4. Step 4: Simplify right side
    253,786x = 303,944,921,344
  5. Step 5: Solve for x
    x = 303,944,921,344/253,786
  6. Step 6: Final answer
    x = 1,197,642.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.