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Finding the Third Proportional to 598,857 and 904,521

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Solution

The third proportional to 598,857 and 904,521 is: 1,366,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,857 : 904,521 = 904,521 : x
  2. Step 2: Convert to fraction form
    598,857/904,521 = 904,521/x
  3. Step 3: Cross multiply
    598,857x = 904,521 × 904,521
  4. Step 4: Simplify right side
    598,857x = 818,158,239,441
  5. Step 5: Solve for x
    x = 818,158,239,441/598,857
  6. Step 6: Final answer
    x = 1,366,199.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.