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Finding the Third Proportional to 295,177.50 and 633,357

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Solution

The third proportional to 295,177.50 and 633,357 is: 1,358,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,177.50 : 633,357 = 633,357 : x
  2. Step 2: Convert to fraction form
    295,177.50/633,357 = 633,357/x
  3. Step 3: Cross multiply
    295,177.50x = 633,357 × 633,357
  4. Step 4: Simplify right side
    295,177.50x = 401,141,089,449
  5. Step 5: Solve for x
    x = 401,141,089,449/295,177.50
  6. Step 6: Final answer
    x = 1,358,982.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.