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Finding the Third Proportional to 295,474 and 418,128.50

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Solution

The third proportional to 295,474 and 418,128.50 is: 591,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,474 : 418,128.50 = 418,128.50 : x
  2. Step 2: Convert to fraction form
    295,474/418,128.50 = 418,128.50/x
  3. Step 3: Cross multiply
    295,474x = 418,128.50 × 418,128.50
  4. Step 4: Simplify right side
    295,474x = 174,831,442,512.25
  5. Step 5: Solve for x
    x = 174,831,442,512.25/295,474
  6. Step 6: Final answer
    x = 591,698.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.