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Finding the Third Proportional to 349,960.50 and 723,248.50

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Solution

The third proportional to 349,960.50 and 723,248.50 is: 1,494,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,960.50 : 723,248.50 = 723,248.50 : x
  2. Step 2: Convert to fraction form
    349,960.50/723,248.50 = 723,248.50/x
  3. Step 3: Cross multiply
    349,960.50x = 723,248.50 × 723,248.50
  4. Step 4: Simplify right side
    349,960.50x = 523,088,392,752.25
  5. Step 5: Solve for x
    x = 523,088,392,752.25/349,960.50
  6. Step 6: Final answer
    x = 1,494,706.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.