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Finding the Third Proportional to 411,894 and 616,350

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Solution

The third proportional to 411,894 and 616,350 is: 922,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,894 : 616,350 = 616,350 : x
  2. Step 2: Convert to fraction form
    411,894/616,350 = 616,350/x
  3. Step 3: Cross multiply
    411,894x = 616,350 × 616,350
  4. Step 4: Simplify right side
    411,894x = 379,887,322,500
  5. Step 5: Solve for x
    x = 379,887,322,500/411,894
  6. Step 6: Final answer
    x = 922,293.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.