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Finding the Third Proportional to 499,867 and 732,006

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Solution

The third proportional to 499,867 and 732,006 is: 1,071,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,867 : 732,006 = 732,006 : x
  2. Step 2: Convert to fraction form
    499,867/732,006 = 732,006/x
  3. Step 3: Cross multiply
    499,867x = 732,006 × 732,006
  4. Step 4: Simplify right side
    499,867x = 535,832,784,036
  5. Step 5: Solve for x
    x = 535,832,784,036/499,867
  6. Step 6: Final answer
    x = 1,071,950.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.