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Finding the Third Proportional to 598,676 and 904,235

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Solution

The third proportional to 598,676 and 904,235 is: 1,365,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,676 : 904,235 = 904,235 : x
  2. Step 2: Convert to fraction form
    598,676/904,235 = 904,235/x
  3. Step 3: Cross multiply
    598,676x = 904,235 × 904,235
  4. Step 4: Simplify right side
    598,676x = 817,640,935,225
  5. Step 5: Solve for x
    x = 817,640,935,225/598,676
  6. Step 6: Final answer
    x = 1,365,748.64

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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.