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Finding the Third Proportional to 370,866 and 503,788

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Solution

The third proportional to 370,866 and 503,788 is: 684,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,866 : 503,788 = 503,788 : x
  2. Step 2: Convert to fraction form
    370,866/503,788 = 503,788/x
  3. Step 3: Cross multiply
    370,866x = 503,788 × 503,788
  4. Step 4: Simplify right side
    370,866x = 253,802,348,944
  5. Step 5: Solve for x
    x = 253,802,348,944/370,866
  6. Step 6: Final answer
    x = 684,350.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.