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Finding the Third Proportional to 565,053 and 852,834

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Solution

The third proportional to 565,053 and 852,834 is: 1,287,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,053 : 852,834 = 852,834 : x
  2. Step 2: Convert to fraction form
    565,053/852,834 = 852,834/x
  3. Step 3: Cross multiply
    565,053x = 852,834 × 852,834
  4. Step 4: Simplify right side
    565,053x = 727,325,831,556
  5. Step 5: Solve for x
    x = 727,325,831,556/565,053
  6. Step 6: Final answer
    x = 1,287,181.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.