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Finding the Third Proportional to 538,918.31 and 845,404.59

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Solution

The third proportional to 538,918.31 and 845,404.59 is: 1,326,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,918.31 : 845,404.59 = 845,404.59 : x
  2. Step 2: Convert to fraction form
    538,918.31/845,404.59 = 845,404.59/x
  3. Step 3: Cross multiply
    538,918.31x = 845,404.59 × 845,404.59
  4. Step 4: Simplify right side
    538,918.31x = 714,708,927,133.60
  5. Step 5: Solve for x
    x = 714,708,927,133.60/538,918.31
  6. Step 6: Final answer
    x = 1,326,191.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.