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Finding the Third Proportional to 364,209.75 and 551,438.25

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Solution

The third proportional to 364,209.75 and 551,438.25 is: 834,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,209.75 : 551,438.25 = 551,438.25 : x
  2. Step 2: Convert to fraction form
    364,209.75/551,438.25 = 551,438.25/x
  3. Step 3: Cross multiply
    364,209.75x = 551,438.25 × 551,438.25
  4. Step 4: Simplify right side
    364,209.75x = 304,084,143,563.06
  5. Step 5: Solve for x
    x = 304,084,143,563.06/364,209.75
  6. Step 6: Final answer
    x = 834,914.89

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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.