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Finding the Third Proportional to 237,762 and 508,788

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Solution

The third proportional to 237,762 and 508,788 is: 1,088,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,762 : 508,788 = 508,788 : x
  2. Step 2: Convert to fraction form
    237,762/508,788 = 508,788/x
  3. Step 3: Cross multiply
    237,762x = 508,788 × 508,788
  4. Step 4: Simplify right side
    237,762x = 258,865,228,944
  5. Step 5: Solve for x
    x = 258,865,228,944/237,762
  6. Step 6: Final answer
    x = 1,088,757.79

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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.