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Finding the Third Proportional to 566,296.31 and 883,889.72

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Solution

The third proportional to 566,296.31 and 883,889.72 is: 1,379,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,296.31 : 883,889.72 = 883,889.72 : x
  2. Step 2: Convert to fraction form
    566,296.31/883,889.72 = 883,889.72/x
  3. Step 3: Cross multiply
    566,296.31x = 883,889.72 × 883,889.72
  4. Step 4: Simplify right side
    566,296.31x = 781,261,034,911.95
  5. Step 5: Solve for x
    x = 781,261,034,911.95/566,296.31
  6. Step 6: Final answer
    x = 1,379,597.60

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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.