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Finding the Third Proportional to 364,154 and 551,292

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Solution

The third proportional to 364,154 and 551,292 is: 834,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,154 : 551,292 = 551,292 : x
  2. Step 2: Convert to fraction form
    364,154/551,292 = 551,292/x
  3. Step 3: Cross multiply
    364,154x = 551,292 × 551,292
  4. Step 4: Simplify right side
    364,154x = 303,922,869,264
  5. Step 5: Solve for x
    x = 303,922,869,264/364,154
  6. Step 6: Final answer
    x = 834,599.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.