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Finding the Third Proportional to 411,896 and 616,353

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Solution

The third proportional to 411,896 and 616,353 is: 922,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,896 : 616,353 = 616,353 : x
  2. Step 2: Convert to fraction form
    411,896/616,353 = 616,353/x
  3. Step 3: Cross multiply
    411,896x = 616,353 × 616,353
  4. Step 4: Simplify right side
    411,896x = 379,891,020,609
  5. Step 5: Solve for x
    x = 379,891,020,609/411,896
  6. Step 6: Final answer
    x = 922,298.40

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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.