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Finding the Third Proportional to 345,360 and 533,376

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Solution

The third proportional to 345,360 and 533,376 is: 823,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,360 : 533,376 = 533,376 : x
  2. Step 2: Convert to fraction form
    345,360/533,376 = 533,376/x
  3. Step 3: Cross multiply
    345,360x = 533,376 × 533,376
  4. Step 4: Simplify right side
    345,360x = 284,489,957,376
  5. Step 5: Solve for x
    x = 284,489,957,376/345,360
  6. Step 6: Final answer
    x = 823,749.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.