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Finding the Third Proportional to 333,159.75 and 512,484.75

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Solution

The third proportional to 333,159.75 and 512,484.75 is: 788,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,159.75 : 512,484.75 = 512,484.75 : x
  2. Step 2: Convert to fraction form
    333,159.75/512,484.75 = 512,484.75/x
  3. Step 3: Cross multiply
    333,159.75x = 512,484.75 × 512,484.75
  4. Step 4: Simplify right side
    333,159.75x = 262,640,618,982.56
  5. Step 5: Solve for x
    x = 262,640,618,982.56/333,159.75
  6. Step 6: Final answer
    x = 788,332.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.