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Finding the Third Proportional to 376,710.75 and 536,817.38

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Solution

The third proportional to 376,710.75 and 536,817.38 is: 764,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,710.75 : 536,817.38 = 536,817.38 : x
  2. Step 2: Convert to fraction form
    376,710.75/536,817.38 = 536,817.38/x
  3. Step 3: Cross multiply
    376,710.75x = 536,817.38 × 536,817.38
  4. Step 4: Simplify right side
    376,710.75x = 288,172,894,101.89
  5. Step 5: Solve for x
    x = 288,172,894,101.89/376,710.75
  6. Step 6: Final answer
    x = 764,971.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.