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Finding the Third Proportional to 342,464 and 545,407

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Solution

The third proportional to 342,464 and 545,407 is: 868,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,464 : 545,407 = 545,407 : x
  2. Step 2: Convert to fraction form
    342,464/545,407 = 545,407/x
  3. Step 3: Cross multiply
    342,464x = 545,407 × 545,407
  4. Step 4: Simplify right side
    342,464x = 297,468,795,649
  5. Step 5: Solve for x
    x = 297,468,795,649/342,464
  6. Step 6: Final answer
    x = 868,613.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.