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Finding the Third Proportional to 459,064.97 and 723,811.57

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Solution

The third proportional to 459,064.97 and 723,811.57 is: 1,141,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,064.97 : 723,811.57 = 723,811.57 : x
  2. Step 2: Convert to fraction form
    459,064.97/723,811.57 = 723,811.57/x
  3. Step 3: Cross multiply
    459,064.97x = 723,811.57 × 723,811.57
  4. Step 4: Simplify right side
    459,064.97x = 523,903,189,318.25
  5. Step 5: Solve for x
    x = 523,903,189,318.25/459,064.97
  6. Step 6: Final answer
    x = 1,141,239.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.