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Finding the Third Proportional to 234,801 and 507,888

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Solution

The third proportional to 234,801 and 507,888 is: 1,098,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,801 : 507,888 = 507,888 : x
  2. Step 2: Convert to fraction form
    234,801/507,888 = 507,888/x
  3. Step 3: Cross multiply
    234,801x = 507,888 × 507,888
  4. Step 4: Simplify right side
    234,801x = 257,950,220,544
  5. Step 5: Solve for x
    x = 257,950,220,544/234,801
  6. Step 6: Final answer
    x = 1,098,590.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.