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Finding the Third Proportional to 364,233 and 551,427.75

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Solution

The third proportional to 364,233 and 551,427.75 is: 834,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,233 : 551,427.75 = 551,427.75 : x
  2. Step 2: Convert to fraction form
    364,233/551,427.75 = 551,427.75/x
  3. Step 3: Cross multiply
    364,233x = 551,427.75 × 551,427.75
  4. Step 4: Simplify right side
    364,233x = 304,072,563,470.06
  5. Step 5: Solve for x
    x = 304,072,563,470.06/364,233
  6. Step 6: Final answer
    x = 834,829.80

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Why These Related Problems?

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