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Finding the Third Proportional to 364,627.50 and 551,971.75

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Solution

The third proportional to 364,627.50 and 551,971.75 is: 835,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,627.50 : 551,971.75 = 551,971.75 : x
  2. Step 2: Convert to fraction form
    364,627.50/551,971.75 = 551,971.75/x
  3. Step 3: Cross multiply
    364,627.50x = 551,971.75 × 551,971.75
  4. Step 4: Simplify right side
    364,627.50x = 304,672,812,798.06
  5. Step 5: Solve for x
    x = 304,672,812,798.06/364,627.50
  6. Step 6: Final answer
    x = 835,572.78

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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.