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Finding the Third Proportional to 403,996 and 598,185

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Solution

The third proportional to 403,996 and 598,185 is: 885,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,996 : 598,185 = 598,185 : x
  2. Step 2: Convert to fraction form
    403,996/598,185 = 598,185/x
  3. Step 3: Cross multiply
    403,996x = 598,185 × 598,185
  4. Step 4: Simplify right side
    403,996x = 357,825,294,225
  5. Step 5: Solve for x
    x = 357,825,294,225/403,996
  6. Step 6: Final answer
    x = 885,714.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.