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Finding the Third Proportional to 359,878.50 and 764,037

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Solution

The third proportional to 359,878.50 and 764,037 is: 1,622,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,878.50 : 764,037 = 764,037 : x
  2. Step 2: Convert to fraction form
    359,878.50/764,037 = 764,037/x
  3. Step 3: Cross multiply
    359,878.50x = 764,037 × 764,037
  4. Step 4: Simplify right side
    359,878.50x = 583,752,537,369
  5. Step 5: Solve for x
    x = 583,752,537,369/359,878.50
  6. Step 6: Final answer
    x = 1,622,082.28

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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.