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Finding the Third Proportional to 543,840 and 764,487

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Solution

The third proportional to 543,840 and 764,487 is: 1,074,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,840 : 764,487 = 764,487 : x
  2. Step 2: Convert to fraction form
    543,840/764,487 = 764,487/x
  3. Step 3: Cross multiply
    543,840x = 764,487 × 764,487
  4. Step 4: Simplify right side
    543,840x = 584,440,373,169
  5. Step 5: Solve for x
    x = 584,440,373,169/543,840
  6. Step 6: Final answer
    x = 1,074,655.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.