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Finding the Third Proportional to 292,582.13 and 638,745.75

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Solution

The third proportional to 292,582.13 and 638,745.75 is: 1,394,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,582.13 : 638,745.75 = 638,745.75 : x
  2. Step 2: Convert to fraction form
    292,582.13/638,745.75 = 638,745.75/x
  3. Step 3: Cross multiply
    292,582.13x = 638,745.75 × 638,745.75
  4. Step 4: Simplify right side
    292,582.13x = 407,996,133,143.06
  5. Step 5: Solve for x
    x = 407,996,133,143.06/292,582.13
  6. Step 6: Final answer
    x = 1,394,467.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.