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Finding the Third Proportional to 373,629 and 594,804

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Solution

The third proportional to 373,629 and 594,804 is: 946,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,629 : 594,804 = 594,804 : x
  2. Step 2: Convert to fraction form
    373,629/594,804 = 594,804/x
  3. Step 3: Cross multiply
    373,629x = 594,804 × 594,804
  4. Step 4: Simplify right side
    373,629x = 353,791,798,416
  5. Step 5: Solve for x
    x = 353,791,798,416/373,629
  6. Step 6: Final answer
    x = 946,906.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.