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Finding the Third Proportional to 253,854 and 551,407.50

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Solution

The third proportional to 253,854 and 551,407.50 is: 1,197,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,854 : 551,407.50 = 551,407.50 : x
  2. Step 2: Convert to fraction form
    253,854/551,407.50 = 551,407.50/x
  3. Step 3: Cross multiply
    253,854x = 551,407.50 × 551,407.50
  4. Step 4: Simplify right side
    253,854x = 304,050,231,056.25
  5. Step 5: Solve for x
    x = 304,050,231,056.25/253,854
  6. Step 6: Final answer
    x = 1,197,736.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.