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Finding the Third Proportional to 361,818 and 531,875

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Solution

The third proportional to 361,818 and 531,875 is: 781,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,818 : 531,875 = 531,875 : x
  2. Step 2: Convert to fraction form
    361,818/531,875 = 531,875/x
  3. Step 3: Cross multiply
    361,818x = 531,875 × 531,875
  4. Step 4: Simplify right side
    361,818x = 282,891,015,625
  5. Step 5: Solve for x
    x = 282,891,015,625/361,818
  6. Step 6: Final answer
    x = 781,859.98

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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.