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Finding the Third Proportional to 576,342 and 926,027

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Solution

The third proportional to 576,342 and 926,027 is: 1,487,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,342 : 926,027 = 926,027 : x
  2. Step 2: Convert to fraction form
    576,342/926,027 = 926,027/x
  3. Step 3: Cross multiply
    576,342x = 926,027 × 926,027
  4. Step 4: Simplify right side
    576,342x = 857,526,004,729
  5. Step 5: Solve for x
    x = 857,526,004,729/576,342
  6. Step 6: Final answer
    x = 1,487,877.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.