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Finding the Third Proportional to 381,532.50 and 607,326.75

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Solution

The third proportional to 381,532.50 and 607,326.75 is: 966,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,532.50 : 607,326.75 = 607,326.75 : x
  2. Step 2: Convert to fraction form
    381,532.50/607,326.75 = 607,326.75/x
  3. Step 3: Cross multiply
    381,532.50x = 607,326.75 × 607,326.75
  4. Step 4: Simplify right side
    381,532.50x = 368,845,781,265.56
  5. Step 5: Solve for x
    x = 368,845,781,265.56/381,532.50
  6. Step 6: Final answer
    x = 966,748.00

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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.