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Finding the Third Proportional to 403,997 and 598,186.50

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Solution

The third proportional to 403,997 and 598,186.50 is: 885,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,997 : 598,186.50 = 598,186.50 : x
  2. Step 2: Convert to fraction form
    403,997/598,186.50 = 598,186.50/x
  3. Step 3: Cross multiply
    403,997x = 598,186.50 × 598,186.50
  4. Step 4: Simplify right side
    403,997x = 357,827,088,782.25
  5. Step 5: Solve for x
    x = 357,827,088,782.25/403,997
  6. Step 6: Final answer
    x = 885,717.19

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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.