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Finding the Third Proportional to 462,774.50 and 699,092.75

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Solution

The third proportional to 462,774.50 and 699,092.75 is: 1,056,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,774.50 : 699,092.75 = 699,092.75 : x
  2. Step 2: Convert to fraction form
    462,774.50/699,092.75 = 699,092.75/x
  3. Step 3: Cross multiply
    462,774.50x = 699,092.75 × 699,092.75
  4. Step 4: Simplify right side
    462,774.50x = 488,730,673,102.56
  5. Step 5: Solve for x
    x = 488,730,673,102.56/462,774.50
  6. Step 6: Final answer
    x = 1,056,088.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.