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Finding the Third Proportional to 769,773.50 and 1,688,263

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Solution

The third proportional to 769,773.50 and 1,688,263 is: 3,702,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,773.50 : 1,688,263 = 1,688,263 : x
  2. Step 2: Convert to fraction form
    769,773.50/1,688,263 = 1,688,263/x
  3. Step 3: Cross multiply
    769,773.50x = 1,688,263 × 1,688,263
  4. Step 4: Simplify right side
    769,773.50x = 2,850,231,957,169
  5. Step 5: Solve for x
    x = 2,850,231,957,169/769,773.50
  6. Step 6: Final answer
    x = 3,702,689.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.