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Finding the Third Proportional to 403,914.94 and 598,073.63

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Solution

The third proportional to 403,914.94 and 598,073.63 is: 885,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,914.94 : 598,073.63 = 598,073.63 : x
  2. Step 2: Convert to fraction form
    403,914.94/598,073.63 = 598,073.63/x
  3. Step 3: Cross multiply
    403,914.94x = 598,073.63 × 598,073.63
  4. Step 4: Simplify right side
    403,914.94x = 357,692,060,920.64
  5. Step 5: Solve for x
    x = 357,692,060,920.64/403,914.94
  6. Step 6: Final answer
    x = 885,562.84

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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.