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Finding the Third Proportional to 576,313 and 925,978

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Solution

The third proportional to 576,313 and 925,978 is: 1,487,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,313 : 925,978 = 925,978 : x
  2. Step 2: Convert to fraction form
    576,313/925,978 = 925,978/x
  3. Step 3: Cross multiply
    576,313x = 925,978 × 925,978
  4. Step 4: Simplify right side
    576,313x = 857,435,256,484
  5. Step 5: Solve for x
    x = 857,435,256,484/576,313
  6. Step 6: Final answer
    x = 1,487,794.40

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