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Finding the Third Proportional to 384,856.31 and 595,965.09

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Solution

The third proportional to 384,856.31 and 595,965.09 is: 922,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,856.31 : 595,965.09 = 595,965.09 : x
  2. Step 2: Convert to fraction form
    384,856.31/595,965.09 = 595,965.09/x
  3. Step 3: Cross multiply
    384,856.31x = 595,965.09 × 595,965.09
  4. Step 4: Simplify right side
    384,856.31x = 355,174,392,968.45
  5. Step 5: Solve for x
    x = 355,174,392,968.45/384,856.31
  6. Step 6: Final answer
    x = 922,875.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.