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Finding the Third Proportional to 236,466 and 507,924

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Solution

The third proportional to 236,466 and 507,924 is: 1,091,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,466 : 507,924 = 507,924 : x
  2. Step 2: Convert to fraction form
    236,466/507,924 = 507,924/x
  3. Step 3: Cross multiply
    236,466x = 507,924 × 507,924
  4. Step 4: Simplify right side
    236,466x = 257,986,789,776
  5. Step 5: Solve for x
    x = 257,986,789,776/236,466
  6. Step 6: Final answer
    x = 1,091,010.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.