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Finding the Third Proportional to 288,285.33 and 630,869.77

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Solution

The third proportional to 288,285.33 and 630,869.77 is: 1,380,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,285.33 : 630,869.77 = 630,869.77 : x
  2. Step 2: Convert to fraction form
    288,285.33/630,869.77 = 630,869.77/x
  3. Step 3: Cross multiply
    288,285.33x = 630,869.77 × 630,869.77
  4. Step 4: Simplify right side
    288,285.33x = 397,996,661,179.74
  5. Step 5: Solve for x
    x = 397,996,661,179.74/288,285.33
  6. Step 6: Final answer
    x = 1,380,565.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.