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Finding the Third Proportional to 508,512.94 and 769,335.47

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Solution

The third proportional to 508,512.94 and 769,335.47 is: 1,163,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,512.94 : 769,335.47 = 769,335.47 : x
  2. Step 2: Convert to fraction form
    508,512.94/769,335.47 = 769,335.47/x
  3. Step 3: Cross multiply
    508,512.94x = 769,335.47 × 769,335.47
  4. Step 4: Simplify right side
    508,512.94x = 591,877,063,476.78
  5. Step 5: Solve for x
    x = 591,877,063,476.78/508,512.94
  6. Step 6: Final answer
    x = 1,163,937.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.