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Finding the Third Proportional to 492,129 and 760,002

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Solution

The third proportional to 492,129 and 760,002 is: 1,173,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,129 : 760,002 = 760,002 : x
  2. Step 2: Convert to fraction form
    492,129/760,002 = 760,002/x
  3. Step 3: Cross multiply
    492,129x = 760,002 × 760,002
  4. Step 4: Simplify right side
    492,129x = 577,603,040,004
  5. Step 5: Solve for x
    x = 577,603,040,004/492,129
  6. Step 6: Final answer
    x = 1,173,682.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.