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Finding the Third Proportional to 332,646.75 and 508,947.75

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Solution

The third proportional to 332,646.75 and 508,947.75 is: 778,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,646.75 : 508,947.75 = 508,947.75 : x
  2. Step 2: Convert to fraction form
    332,646.75/508,947.75 = 508,947.75/x
  3. Step 3: Cross multiply
    332,646.75x = 508,947.75 × 508,947.75
  4. Step 4: Simplify right side
    332,646.75x = 259,027,812,230.06
  5. Step 5: Solve for x
    x = 259,027,812,230.06/332,646.75
  6. Step 6: Final answer
    x = 778,687.34

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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.