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Finding the Third Proportional to 369,469 and 595,004.50

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Solution

The third proportional to 369,469 and 595,004.50 is: 958,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,469 : 595,004.50 = 595,004.50 : x
  2. Step 2: Convert to fraction form
    369,469/595,004.50 = 595,004.50/x
  3. Step 3: Cross multiply
    369,469x = 595,004.50 × 595,004.50
  4. Step 4: Simplify right side
    369,469x = 354,030,355,020.25
  5. Step 5: Solve for x
    x = 354,030,355,020.25/369,469
  6. Step 6: Final answer
    x = 958,213.96

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.