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Finding the Third Proportional to 361,796 and 531,854

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Solution

The third proportional to 361,796 and 531,854 is: 781,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,796 : 531,854 = 531,854 : x
  2. Step 2: Convert to fraction form
    361,796/531,854 = 531,854/x
  3. Step 3: Cross multiply
    361,796x = 531,854 × 531,854
  4. Step 4: Simplify right side
    361,796x = 282,868,677,316
  5. Step 5: Solve for x
    x = 282,868,677,316/361,796
  6. Step 6: Final answer
    x = 781,845.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.