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Finding the Third Proportional to 569,826 and 882,279

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Solution

The third proportional to 569,826 and 882,279 is: 1,366,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,826 : 882,279 = 882,279 : x
  2. Step 2: Convert to fraction form
    569,826/882,279 = 882,279/x
  3. Step 3: Cross multiply
    569,826x = 882,279 × 882,279
  4. Step 4: Simplify right side
    569,826x = 778,416,233,841
  5. Step 5: Solve for x
    x = 778,416,233,841/569,826
  6. Step 6: Final answer
    x = 1,366,059.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.