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Finding the Third Proportional to 771,382.50 and 1,156,335.75

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Solution

The third proportional to 771,382.50 and 1,156,335.75 is: 1,733,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,382.50 : 1,156,335.75 = 1,156,335.75 : x
  2. Step 2: Convert to fraction form
    771,382.50/1,156,335.75 = 1,156,335.75/x
  3. Step 3: Cross multiply
    771,382.50x = 1,156,335.75 × 1,156,335.75
  4. Step 4: Simplify right side
    771,382.50x = 1,337,112,366,728.06
  5. Step 5: Solve for x
    x = 1,337,112,366,728.06/771,382.50
  6. Step 6: Final answer
    x = 1,733,397.33

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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.