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Finding the Third Proportional to 361,748 and 531,795

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Solution

The third proportional to 361,748 and 531,795 is: 781,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,748 : 531,795 = 531,795 : x
  2. Step 2: Convert to fraction form
    361,748/531,795 = 531,795/x
  3. Step 3: Cross multiply
    361,748x = 531,795 × 531,795
  4. Step 4: Simplify right side
    361,748x = 282,805,922,025
  5. Step 5: Solve for x
    x = 282,805,922,025/361,748
  6. Step 6: Final answer
    x = 781,776.05

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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.