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Finding the Third Proportional to 407,112.75 and 598,827.38

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Solution

The third proportional to 407,112.75 and 598,827.38 is: 880,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,112.75 : 598,827.38 = 598,827.38 : x
  2. Step 2: Convert to fraction form
    407,112.75/598,827.38 = 598,827.38/x
  3. Step 3: Cross multiply
    407,112.75x = 598,827.38 × 598,827.38
  4. Step 4: Simplify right side
    407,112.75x = 358,594,225,049.39
  5. Step 5: Solve for x
    x = 358,594,225,049.39/407,112.75
  6. Step 6: Final answer
    x = 880,822.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.