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Finding the Third Proportional to 576,322 and 925,991

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Solution

The third proportional to 576,322 and 925,991 is: 1,487,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,322 : 925,991 = 925,991 : x
  2. Step 2: Convert to fraction form
    576,322/925,991 = 925,991/x
  3. Step 3: Cross multiply
    576,322x = 925,991 × 925,991
  4. Step 4: Simplify right side
    576,322x = 857,459,332,081
  5. Step 5: Solve for x
    x = 857,459,332,081/576,322
  6. Step 6: Final answer
    x = 1,487,812.94

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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.