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Finding the Third Proportional to 291,628 and 606,524

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Solution

The third proportional to 291,628 and 606,524 is: 1,261,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,628 : 606,524 = 606,524 : x
  2. Step 2: Convert to fraction form
    291,628/606,524 = 606,524/x
  3. Step 3: Cross multiply
    291,628x = 606,524 × 606,524
  4. Step 4: Simplify right side
    291,628x = 367,871,362,576
  5. Step 5: Solve for x
    x = 367,871,362,576/291,628
  6. Step 6: Final answer
    x = 1,261,440.47

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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.