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Finding the Third Proportional to 355,114.13 and 551,944.13

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Solution

The third proportional to 355,114.13 and 551,944.13 is: 857,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,114.13 : 551,944.13 = 551,944.13 : x
  2. Step 2: Convert to fraction form
    355,114.13/551,944.13 = 551,944.13/x
  3. Step 3: Cross multiply
    355,114.13x = 551,944.13 × 551,944.13
  4. Step 4: Simplify right side
    355,114.13x = 304,642,317,122.02
  5. Step 5: Solve for x
    x = 304,642,317,122.02/355,114.13
  6. Step 6: Final answer
    x = 857,871.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.