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Finding the Third Proportional to 329,932 and 510,060

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Solution

The third proportional to 329,932 and 510,060 is: 788,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,932 : 510,060 = 510,060 : x
  2. Step 2: Convert to fraction form
    329,932/510,060 = 510,060/x
  3. Step 3: Cross multiply
    329,932x = 510,060 × 510,060
  4. Step 4: Simplify right side
    329,932x = 260,161,203,600
  5. Step 5: Solve for x
    x = 260,161,203,600/329,932
  6. Step 6: Final answer
    x = 788,529.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.