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Finding the Third Proportional to 329,035 and 717,565

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Solution

The third proportional to 329,035 and 717,565 is: 1,564,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,035 : 717,565 = 717,565 : x
  2. Step 2: Convert to fraction form
    329,035/717,565 = 717,565/x
  3. Step 3: Cross multiply
    329,035x = 717,565 × 717,565
  4. Step 4: Simplify right side
    329,035x = 514,899,529,225
  5. Step 5: Solve for x
    x = 514,899,529,225/329,035
  6. Step 6: Final answer
    x = 1,564,877.69

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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.