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Finding the Third Proportional to 365,344 and 800,528

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Solution

The third proportional to 365,344 and 800,528 is: 1,754,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,344 : 800,528 = 800,528 : x
  2. Step 2: Convert to fraction form
    365,344/800,528 = 800,528/x
  3. Step 3: Cross multiply
    365,344x = 800,528 × 800,528
  4. Step 4: Simplify right side
    365,344x = 640,845,078,784
  5. Step 5: Solve for x
    x = 640,845,078,784/365,344
  6. Step 6: Final answer
    x = 1,754,086.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.