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Finding the Third Proportional to 285,108.19 and 398,597.63

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Solution

The third proportional to 285,108.19 and 398,597.63 is: 557,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,108.19 : 398,597.63 = 398,597.63 : x
  2. Step 2: Convert to fraction form
    285,108.19/398,597.63 = 398,597.63/x
  3. Step 3: Cross multiply
    285,108.19x = 398,597.63 × 398,597.63
  4. Step 4: Simplify right side
    285,108.19x = 158,880,066,655.64
  5. Step 5: Solve for x
    x = 158,880,066,655.64/285,108.19
  6. Step 6: Final answer
    x = 557,262.38

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.