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Finding the Third Proportional to 538,932.88 and 845,425.38

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Solution

The third proportional to 538,932.88 and 845,425.38 is: 1,326,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,932.88 : 845,425.38 = 845,425.38 : x
  2. Step 2: Convert to fraction form
    538,932.88/845,425.38 = 845,425.38/x
  3. Step 3: Cross multiply
    538,932.88x = 845,425.38 × 845,425.38
  4. Step 4: Simplify right side
    538,932.88x = 714,744,064,693.89
  5. Step 5: Solve for x
    x = 714,744,064,693.89/538,932.88
  6. Step 6: Final answer
    x = 1,326,220.94

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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.