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Finding the Third Proportional to 345,152 and 523,074

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Solution

The third proportional to 345,152 and 523,074 is: 792,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,152 : 523,074 = 523,074 : x
  2. Step 2: Convert to fraction form
    345,152/523,074 = 523,074/x
  3. Step 3: Cross multiply
    345,152x = 523,074 × 523,074
  4. Step 4: Simplify right side
    345,152x = 273,606,409,476
  5. Step 5: Solve for x
    x = 273,606,409,476/345,152
  6. Step 6: Final answer
    x = 792,712.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.