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Finding the Third Proportional to 288,216.56 and 619,079.63

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Solution

The third proportional to 288,216.56 and 619,079.63 is: 1,329,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,216.56 : 619,079.63 = 619,079.63 : x
  2. Step 2: Convert to fraction form
    288,216.56/619,079.63 = 619,079.63/x
  3. Step 3: Cross multiply
    288,216.56x = 619,079.63 × 619,079.63
  4. Step 4: Simplify right side
    288,216.56x = 383,259,582,090.14
  5. Step 5: Solve for x
    x = 383,259,582,090.14/288,216.56
  6. Step 6: Final answer
    x = 1,329,762.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.