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Finding the Third Proportional to 300,061.50 and 650,971.50

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Solution

The third proportional to 300,061.50 and 650,971.50 is: 1,412,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,061.50 : 650,971.50 = 650,971.50 : x
  2. Step 2: Convert to fraction form
    300,061.50/650,971.50 = 650,971.50/x
  3. Step 3: Cross multiply
    300,061.50x = 650,971.50 × 650,971.50
  4. Step 4: Simplify right side
    300,061.50x = 423,763,893,812.25
  5. Step 5: Solve for x
    x = 423,763,893,812.25/300,061.50
  6. Step 6: Final answer
    x = 1,412,256.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.