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Finding the Third Proportional to 344,002.50 and 505,893

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Solution

The third proportional to 344,002.50 and 505,893 is: 743,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,002.50 : 505,893 = 505,893 : x
  2. Step 2: Convert to fraction form
    344,002.50/505,893 = 505,893/x
  3. Step 3: Cross multiply
    344,002.50x = 505,893 × 505,893
  4. Step 4: Simplify right side
    344,002.50x = 255,927,727,449
  5. Step 5: Solve for x
    x = 255,927,727,449/344,002.50
  6. Step 6: Final answer
    x = 743,970.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.