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Finding the Third Proportional to 328,356 and 696,246

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Solution

The third proportional to 328,356 and 696,246 is: 1,476,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,356 : 696,246 = 696,246 : x
  2. Step 2: Convert to fraction form
    328,356/696,246 = 696,246/x
  3. Step 3: Cross multiply
    328,356x = 696,246 × 696,246
  4. Step 4: Simplify right side
    328,356x = 484,758,492,516
  5. Step 5: Solve for x
    x = 484,758,492,516/328,356
  6. Step 6: Final answer
    x = 1,476,319.89

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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.