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Finding the Third Proportional to 381,537 and 607,335.75

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Solution

The third proportional to 381,537 and 607,335.75 is: 966,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,537 : 607,335.75 = 607,335.75 : x
  2. Step 2: Convert to fraction form
    381,537/607,335.75 = 607,335.75/x
  3. Step 3: Cross multiply
    381,537x = 607,335.75 × 607,335.75
  4. Step 4: Simplify right side
    381,537x = 368,856,713,228.06
  5. Step 5: Solve for x
    x = 368,856,713,228.06/381,537
  6. Step 6: Final answer
    x = 966,765.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.