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Finding the Third Proportional to 288,775.13 and 695,688.75

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Solution

The third proportional to 288,775.13 and 695,688.75 is: 1,675,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,775.13 : 695,688.75 = 695,688.75 : x
  2. Step 2: Convert to fraction form
    288,775.13/695,688.75 = 695,688.75/x
  3. Step 3: Cross multiply
    288,775.13x = 695,688.75 × 695,688.75
  4. Step 4: Simplify right side
    288,775.13x = 483,982,836,876.56
  5. Step 5: Solve for x
    x = 483,982,836,876.56/288,775.13
  6. Step 6: Final answer
    x = 1,675,985.20

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.