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Finding the Third Proportional to 771,403.50 and 1,156,356

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Solution

The third proportional to 771,403.50 and 1,156,356 is: 1,733,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,403.50 : 1,156,356 = 1,156,356 : x
  2. Step 2: Convert to fraction form
    771,403.50/1,156,356 = 1,156,356/x
  3. Step 3: Cross multiply
    771,403.50x = 1,156,356 × 1,156,356
  4. Step 4: Simplify right side
    771,403.50x = 1,337,159,198,736
  5. Step 5: Solve for x
    x = 1,337,159,198,736/771,403.50
  6. Step 6: Final answer
    x = 1,733,410.85

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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.