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Finding the Third Proportional to 415,263.94 and 593,823.38

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Solution

The third proportional to 415,263.94 and 593,823.38 is: 849,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,263.94 : 593,823.38 = 593,823.38 : x
  2. Step 2: Convert to fraction form
    415,263.94/593,823.38 = 593,823.38/x
  3. Step 3: Cross multiply
    415,263.94x = 593,823.38 × 593,823.38
  4. Step 4: Simplify right side
    415,263.94x = 352,626,200,696.39
  5. Step 5: Solve for x
    x = 352,626,200,696.39/415,263.94
  6. Step 6: Final answer
    x = 849,161.63

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.