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Finding the Third Proportional to 544,040 and 764,769

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Solution

The third proportional to 544,040 and 764,769 is: 1,075,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,040 : 764,769 = 764,769 : x
  2. Step 2: Convert to fraction form
    544,040/764,769 = 764,769/x
  3. Step 3: Cross multiply
    544,040x = 764,769 × 764,769
  4. Step 4: Simplify right side
    544,040x = 584,871,623,361
  5. Step 5: Solve for x
    x = 584,871,623,361/544,040
  6. Step 6: Final answer
    x = 1,075,052.61

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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.