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Finding the Third Proportional to 365,344 and 573,264

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Solution

The third proportional to 365,344 and 573,264 is: 899,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,344 : 573,264 = 573,264 : x
  2. Step 2: Convert to fraction form
    365,344/573,264 = 573,264/x
  3. Step 3: Cross multiply
    365,344x = 573,264 × 573,264
  4. Step 4: Simplify right side
    365,344x = 328,631,613,696
  5. Step 5: Solve for x
    x = 328,631,613,696/365,344
  6. Step 6: Final answer
    x = 899,512.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.