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Finding the Third Proportional to 295,580.39 and 421,223.41

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Solution

The third proportional to 295,580.39 and 421,223.41 is: 600,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,580.39 : 421,223.41 = 421,223.41 : x
  2. Step 2: Convert to fraction form
    295,580.39/421,223.41 = 421,223.41/x
  3. Step 3: Cross multiply
    295,580.39x = 421,223.41 × 421,223.41
  4. Step 4: Simplify right side
    295,580.39x = 177,429,164,554.47
  5. Step 5: Solve for x
    x = 177,429,164,554.47/295,580.39
  6. Step 6: Final answer
    x = 600,273.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.