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Finding the Third Proportional to 352,803 and 751,123.50

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Solution

The third proportional to 352,803 and 751,123.50 is: 1,599,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,803 : 751,123.50 = 751,123.50 : x
  2. Step 2: Convert to fraction form
    352,803/751,123.50 = 751,123.50/x
  3. Step 3: Cross multiply
    352,803x = 751,123.50 × 751,123.50
  4. Step 4: Simplify right side
    352,803x = 564,186,512,252.25
  5. Step 5: Solve for x
    x = 564,186,512,252.25/352,803
  6. Step 6: Final answer
    x = 1,599,154.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.