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Finding the Third Proportional to 241,809 and 373,829

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Solution

The third proportional to 241,809 and 373,829 is: 577,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,809 : 373,829 = 373,829 : x
  2. Step 2: Convert to fraction form
    241,809/373,829 = 373,829/x
  3. Step 3: Cross multiply
    241,809x = 373,829 × 373,829
  4. Step 4: Simplify right side
    241,809x = 139,748,121,241
  5. Step 5: Solve for x
    x = 139,748,121,241/241,809
  6. Step 6: Final answer
    x = 577,927.71

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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.