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Finding the Third Proportional to 329,354 and 708,642

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Solution

The third proportional to 329,354 and 708,642 is: 1,524,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,354 : 708,642 = 708,642 : x
  2. Step 2: Convert to fraction form
    329,354/708,642 = 708,642/x
  3. Step 3: Cross multiply
    329,354x = 708,642 × 708,642
  4. Step 4: Simplify right side
    329,354x = 502,173,484,164
  5. Step 5: Solve for x
    x = 502,173,484,164/329,354
  6. Step 6: Final answer
    x = 1,524,722.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.