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Finding the Third Proportional to 454,639.50 and 705,955.50

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Solution

The third proportional to 454,639.50 and 705,955.50 is: 1,096,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,639.50 : 705,955.50 = 705,955.50 : x
  2. Step 2: Convert to fraction form
    454,639.50/705,955.50 = 705,955.50/x
  3. Step 3: Cross multiply
    454,639.50x = 705,955.50 × 705,955.50
  4. Step 4: Simplify right side
    454,639.50x = 498,373,167,980.25
  5. Step 5: Solve for x
    x = 498,373,167,980.25/454,639.50
  6. Step 6: Final answer
    x = 1,096,194.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.