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Finding the Third Proportional to 356,839.50 and 784,653.50

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Solution

The third proportional to 356,839.50 and 784,653.50 is: 1,725,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,839.50 : 784,653.50 = 784,653.50 : x
  2. Step 2: Convert to fraction form
    356,839.50/784,653.50 = 784,653.50/x
  3. Step 3: Cross multiply
    356,839.50x = 784,653.50 × 784,653.50
  4. Step 4: Simplify right side
    356,839.50x = 615,681,115,062.25
  5. Step 5: Solve for x
    x = 615,681,115,062.25/356,839.50
  6. Step 6: Final answer
    x = 1,725,372.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.