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Finding the Third Proportional to 342,365 and 500,869

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Solution

The third proportional to 342,365 and 500,869 is: 732,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,365 : 500,869 = 500,869 : x
  2. Step 2: Convert to fraction form
    342,365/500,869 = 500,869/x
  3. Step 3: Cross multiply
    342,365x = 500,869 × 500,869
  4. Step 4: Simplify right side
    342,365x = 250,869,755,161
  5. Step 5: Solve for x
    x = 250,869,755,161/342,365
  6. Step 6: Final answer
    x = 732,755.26

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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.