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Finding the Third Proportional to 381,537.75 and 607,332

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Solution

The third proportional to 381,537.75 and 607,332 is: 966,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,537.75 : 607,332 = 607,332 : x
  2. Step 2: Convert to fraction form
    381,537.75/607,332 = 607,332/x
  3. Step 3: Cross multiply
    381,537.75x = 607,332 × 607,332
  4. Step 4: Simplify right side
    381,537.75x = 368,852,158,224
  5. Step 5: Solve for x
    x = 368,852,158,224/381,537.75
  6. Step 6: Final answer
    x = 966,751.41

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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.