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Finding the Third Proportional to 372,099 and 594,052.50

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Solution

The third proportional to 372,099 and 594,052.50 is: 948,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,099 : 594,052.50 = 594,052.50 : x
  2. Step 2: Convert to fraction form
    372,099/594,052.50 = 594,052.50/x
  3. Step 3: Cross multiply
    372,099x = 594,052.50 × 594,052.50
  4. Step 4: Simplify right side
    372,099x = 352,898,372,756.25
  5. Step 5: Solve for x
    x = 352,898,372,756.25/372,099
  6. Step 6: Final answer
    x = 948,399.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.