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Finding the Third Proportional to 581,027.63 and 849,243.38

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Solution

The third proportional to 581,027.63 and 849,243.38 is: 1,241,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,027.63 : 849,243.38 = 849,243.38 : x
  2. Step 2: Convert to fraction form
    581,027.63/849,243.38 = 849,243.38/x
  3. Step 3: Cross multiply
    581,027.63x = 849,243.38 × 849,243.38
  4. Step 4: Simplify right side
    581,027.63x = 721,214,309,981.39
  5. Step 5: Solve for x
    x = 721,214,309,981.39/581,027.63
  6. Step 6: Final answer
    x = 1,241,273.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.