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Finding the Third Proportional to 329,484 and 718,104

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Solution

The third proportional to 329,484 and 718,104 is: 1,565,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,484 : 718,104 = 718,104 : x
  2. Step 2: Convert to fraction form
    329,484/718,104 = 718,104/x
  3. Step 3: Cross multiply
    329,484x = 718,104 × 718,104
  4. Step 4: Simplify right side
    329,484x = 515,673,354,816
  5. Step 5: Solve for x
    x = 515,673,354,816/329,484
  6. Step 6: Final answer
    x = 1,565,093.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.