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Finding the Third Proportional to 342,051.75 and 473,913

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Solution

The third proportional to 342,051.75 and 473,913 is: 656,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,051.75 : 473,913 = 473,913 : x
  2. Step 2: Convert to fraction form
    342,051.75/473,913 = 473,913/x
  3. Step 3: Cross multiply
    342,051.75x = 473,913 × 473,913
  4. Step 4: Simplify right side
    342,051.75x = 224,593,531,569
  5. Step 5: Solve for x
    x = 224,593,531,569/342,051.75
  6. Step 6: Final answer
    x = 656,606.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.