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Finding the Third Proportional to 411,196 and 616,793

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Solution

The third proportional to 411,196 and 616,793 is: 925,188.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,196 : 616,793 = 616,793 : x
  2. Step 2: Convert to fraction form
    411,196/616,793 = 616,793/x
  3. Step 3: Cross multiply
    411,196x = 616,793 × 616,793
  4. Step 4: Simplify right side
    411,196x = 380,433,604,849
  5. Step 5: Solve for x
    x = 380,433,604,849/411,196
  6. Step 6: Final answer
    x = 925,188.00

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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.