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Finding the Third Proportional to 651,105.84 and 928,773.84

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Solution

The third proportional to 651,105.84 and 928,773.84 is: 1,324,855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,105.84 : 928,773.84 = 928,773.84 : x
  2. Step 2: Convert to fraction form
    651,105.84/928,773.84 = 928,773.84/x
  3. Step 3: Cross multiply
    651,105.84x = 928,773.84 × 928,773.84
  4. Step 4: Simplify right side
    651,105.84x = 862,620,852,834.15
  5. Step 5: Solve for x
    x = 862,620,852,834.15/651,105.84
  6. Step 6: Final answer
    x = 1,324,855.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.