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Finding the Third Proportional to 364,498.31 and 795,323.81

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Solution

The third proportional to 364,498.31 and 795,323.81 is: 1,735,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,498.31 : 795,323.81 = 795,323.81 : x
  2. Step 2: Convert to fraction form
    364,498.31/795,323.81 = 795,323.81/x
  3. Step 3: Cross multiply
    364,498.31x = 795,323.81 × 795,323.81
  4. Step 4: Simplify right side
    364,498.31x = 632,539,966,729.54
  5. Step 5: Solve for x
    x = 632,539,966,729.54/364,498.31
  6. Step 6: Final answer
    x = 1,735,371.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.