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Finding the Third Proportional to 332,646 and 508,948

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Solution

The third proportional to 332,646 and 508,948 is: 778,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,646 : 508,948 = 508,948 : x
  2. Step 2: Convert to fraction form
    332,646/508,948 = 508,948/x
  3. Step 3: Cross multiply
    332,646x = 508,948 × 508,948
  4. Step 4: Simplify right side
    332,646x = 259,028,066,704
  5. Step 5: Solve for x
    x = 259,028,066,704/332,646
  6. Step 6: Final answer
    x = 778,689.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.