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Finding the Third Proportional to 332,924 and 507,678

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Solution

The third proportional to 332,924 and 507,678 is: 774,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,924 : 507,678 = 507,678 : x
  2. Step 2: Convert to fraction form
    332,924/507,678 = 507,678/x
  3. Step 3: Cross multiply
    332,924x = 507,678 × 507,678
  4. Step 4: Simplify right side
    332,924x = 257,736,951,684
  5. Step 5: Solve for x
    x = 257,736,951,684/332,924
  6. Step 6: Final answer
    x = 774,161.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.