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Finding the Third Proportional to 560,444 and 892,208

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Solution

The third proportional to 560,444 and 892,208 is: 1,420,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,444 : 892,208 = 892,208 : x
  2. Step 2: Convert to fraction form
    560,444/892,208 = 892,208/x
  3. Step 3: Cross multiply
    560,444x = 892,208 × 892,208
  4. Step 4: Simplify right side
    560,444x = 796,035,115,264
  5. Step 5: Solve for x
    x = 796,035,115,264/560,444
  6. Step 6: Final answer
    x = 1,420,365.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.