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Finding the Third Proportional to 328,353 and 696,240

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Solution

The third proportional to 328,353 and 696,240 is: 1,476,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,353 : 696,240 = 696,240 : x
  2. Step 2: Convert to fraction form
    328,353/696,240 = 696,240/x
  3. Step 3: Cross multiply
    328,353x = 696,240 × 696,240
  4. Step 4: Simplify right side
    328,353x = 484,750,137,600
  5. Step 5: Solve for x
    x = 484,750,137,600/328,353
  6. Step 6: Final answer
    x = 1,476,307.93

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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.