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Finding the Third Proportional to 300,004.50 and 438,160.50

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Solution

The third proportional to 300,004.50 and 438,160.50 is: 639,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,004.50 : 438,160.50 = 438,160.50 : x
  2. Step 2: Convert to fraction form
    300,004.50/438,160.50 = 438,160.50/x
  3. Step 3: Cross multiply
    300,004.50x = 438,160.50 × 438,160.50
  4. Step 4: Simplify right side
    300,004.50x = 191,984,623,760.25
  5. Step 5: Solve for x
    x = 191,984,623,760.25/300,004.50
  6. Step 6: Final answer
    x = 639,939.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.