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Finding the Third Proportional to 517,818 and 794,772

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Solution

The third proportional to 517,818 and 794,772 is: 1,219,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,818 : 794,772 = 794,772 : x
  2. Step 2: Convert to fraction form
    517,818/794,772 = 794,772/x
  3. Step 3: Cross multiply
    517,818x = 794,772 × 794,772
  4. Step 4: Simplify right side
    517,818x = 631,662,531,984
  5. Step 5: Solve for x
    x = 631,662,531,984/517,818
  6. Step 6: Final answer
    x = 1,219,854.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.