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Finding the Third Proportional to 328,972.50 and 683,793

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Solution

The third proportional to 328,972.50 and 683,793 is: 1,421,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,972.50 : 683,793 = 683,793 : x
  2. Step 2: Convert to fraction form
    328,972.50/683,793 = 683,793/x
  3. Step 3: Cross multiply
    328,972.50x = 683,793 × 683,793
  4. Step 4: Simplify right side
    328,972.50x = 467,572,866,849
  5. Step 5: Solve for x
    x = 467,572,866,849/328,972.50
  6. Step 6: Final answer
    x = 1,421,312.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.