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Finding the Third Proportional to 393,546.94 and 607,712.63

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Solution

The third proportional to 393,546.94 and 607,712.63 is: 938,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,546.94 : 607,712.63 = 607,712.63 : x
  2. Step 2: Convert to fraction form
    393,546.94/607,712.63 = 607,712.63/x
  3. Step 3: Cross multiply
    393,546.94x = 607,712.63 × 607,712.63
  4. Step 4: Simplify right side
    393,546.94x = 369,314,634,584.39
  5. Step 5: Solve for x
    x = 369,314,634,584.39/393,546.94
  6. Step 6: Final answer
    x = 938,425.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.