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Finding the Third Proportional to 538,848 and 845,289.38

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Solution

The third proportional to 538,848 and 845,289.38 is: 1,326,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,848 : 845,289.38 = 845,289.38 : x
  2. Step 2: Convert to fraction form
    538,848/845,289.38 = 845,289.38/x
  3. Step 3: Cross multiply
    538,848x = 845,289.38 × 845,289.38
  4. Step 4: Simplify right side
    538,848x = 714,514,127,487.89
  5. Step 5: Solve for x
    x = 714,514,127,487.89/538,848
  6. Step 6: Final answer
    x = 1,326,003.12

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