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Finding the Third Proportional to 579,093 and 835,411.50

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Solution

The third proportional to 579,093 and 835,411.50 is: 1,205,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,093 : 835,411.50 = 835,411.50 : x
  2. Step 2: Convert to fraction form
    579,093/835,411.50 = 835,411.50/x
  3. Step 3: Cross multiply
    579,093x = 835,411.50 × 835,411.50
  4. Step 4: Simplify right side
    579,093x = 697,912,374,332.25
  5. Step 5: Solve for x
    x = 697,912,374,332.25/579,093
  6. Step 6: Final answer
    x = 1,205,181.85

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.