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Finding the Third Proportional to 535,268.25 and 788,117.34

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Solution

The third proportional to 535,268.25 and 788,117.34 is: 1,160,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,268.25 : 788,117.34 = 788,117.34 : x
  2. Step 2: Convert to fraction form
    535,268.25/788,117.34 = 788,117.34/x
  3. Step 3: Cross multiply
    535,268.25x = 788,117.34 × 788,117.34
  4. Step 4: Simplify right side
    535,268.25x = 621,128,947,519.56
  5. Step 5: Solve for x
    x = 621,128,947,519.56/535,268.25
  6. Step 6: Final answer
    x = 1,160,406.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.