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Finding the Third Proportional to 356,644 and 554,012

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Solution

The third proportional to 356,644 and 554,012 is: 860,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,644 : 554,012 = 554,012 : x
  2. Step 2: Convert to fraction form
    356,644/554,012 = 554,012/x
  3. Step 3: Cross multiply
    356,644x = 554,012 × 554,012
  4. Step 4: Simplify right side
    356,644x = 306,929,296,144
  5. Step 5: Solve for x
    x = 306,929,296,144/356,644
  6. Step 6: Final answer
    x = 860,604.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.