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Finding the Third Proportional to 288,387.84 and 631,052.02

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Solution

The third proportional to 288,387.84 and 631,052.02 is: 1,380,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,387.84 : 631,052.02 = 631,052.02 : x
  2. Step 2: Convert to fraction form
    288,387.84/631,052.02 = 631,052.02/x
  3. Step 3: Cross multiply
    288,387.84x = 631,052.02 × 631,052.02
  4. Step 4: Simplify right side
    288,387.84x = 398,226,646,424.38
  5. Step 5: Solve for x
    x = 398,226,646,424.38/288,387.84
  6. Step 6: Final answer
    x = 1,380,871.82

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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.