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Finding the Third Proportional to 288,882 and 695,893.50

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Solution

The third proportional to 288,882 and 695,893.50 is: 1,676,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,882 : 695,893.50 = 695,893.50 : x
  2. Step 2: Convert to fraction form
    288,882/695,893.50 = 695,893.50/x
  3. Step 3: Cross multiply
    288,882x = 695,893.50 × 695,893.50
  4. Step 4: Simplify right side
    288,882x = 484,267,763,342.25
  5. Step 5: Solve for x
    x = 484,267,763,342.25/288,882
  6. Step 6: Final answer
    x = 1,676,351.46

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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.