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Finding the Third Proportional to 295,563.94 and 421,202.53

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Solution

The third proportional to 295,563.94 and 421,202.53 is: 600,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,563.94 : 421,202.53 = 421,202.53 : x
  2. Step 2: Convert to fraction form
    295,563.94/421,202.53 = 421,202.53/x
  3. Step 3: Cross multiply
    295,563.94x = 421,202.53 × 421,202.53
  4. Step 4: Simplify right side
    295,563.94x = 177,411,572,331.41
  5. Step 5: Solve for x
    x = 177,411,572,331.41/295,563.94
  6. Step 6: Final answer
    x = 600,247.70

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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.