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Finding the Third Proportional to 328,350 and 696,237

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Solution

The third proportional to 328,350 and 696,237 is: 1,476,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,350 : 696,237 = 696,237 : x
  2. Step 2: Convert to fraction form
    328,350/696,237 = 696,237/x
  3. Step 3: Cross multiply
    328,350x = 696,237 × 696,237
  4. Step 4: Simplify right side
    328,350x = 484,745,960,169
  5. Step 5: Solve for x
    x = 484,745,960,169/328,350
  6. Step 6: Final answer
    x = 1,476,308.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.