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Finding the Third Proportional to 537,942 and 803,755

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Solution

The third proportional to 537,942 and 803,755 is: 1,200,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,942 : 803,755 = 803,755 : x
  2. Step 2: Convert to fraction form
    537,942/803,755 = 803,755/x
  3. Step 3: Cross multiply
    537,942x = 803,755 × 803,755
  4. Step 4: Simplify right side
    537,942x = 646,022,100,025
  5. Step 5: Solve for x
    x = 646,022,100,025/537,942
  6. Step 6: Final answer
    x = 1,200,914.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.