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Finding the Third Proportional to 565,904 and 883,296

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Solution

The third proportional to 565,904 and 883,296 is: 1,378,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,904 : 883,296 = 883,296 : x
  2. Step 2: Convert to fraction form
    565,904/883,296 = 883,296/x
  3. Step 3: Cross multiply
    565,904x = 883,296 × 883,296
  4. Step 4: Simplify right side
    565,904x = 780,211,823,616
  5. Step 5: Solve for x
    x = 780,211,823,616/565,904
  6. Step 6: Final answer
    x = 1,378,699.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.