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Finding the Third Proportional to 232,383 and 507,408

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Solution

The third proportional to 232,383 and 507,408 is: 1,107,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,383 : 507,408 = 507,408 : x
  2. Step 2: Convert to fraction form
    232,383/507,408 = 507,408/x
  3. Step 3: Cross multiply
    232,383x = 507,408 × 507,408
  4. Step 4: Simplify right side
    232,383x = 257,462,878,464
  5. Step 5: Solve for x
    x = 257,462,878,464/232,383
  6. Step 6: Final answer
    x = 1,107,924.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.