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Finding the Third Proportional to 459,715.50 and 713,630.25

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Solution

The third proportional to 459,715.50 and 713,630.25 is: 1,107,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,715.50 : 713,630.25 = 713,630.25 : x
  2. Step 2: Convert to fraction form
    459,715.50/713,630.25 = 713,630.25/x
  3. Step 3: Cross multiply
    459,715.50x = 713,630.25 × 713,630.25
  4. Step 4: Simplify right side
    459,715.50x = 509,268,133,715.06
  5. Step 5: Solve for x
    x = 509,268,133,715.06/459,715.50
  6. Step 6: Final answer
    x = 1,107,789.78

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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.