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Finding the Third Proportional to 306,072 and 656,367.75

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Solution

The third proportional to 306,072 and 656,367.75 is: 1,407,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,072 : 656,367.75 = 656,367.75 : x
  2. Step 2: Convert to fraction form
    306,072/656,367.75 = 656,367.75/x
  3. Step 3: Cross multiply
    306,072x = 656,367.75 × 656,367.75
  4. Step 4: Simplify right side
    306,072x = 430,818,623,240.06
  5. Step 5: Solve for x
    x = 430,818,623,240.06/306,072
  6. Step 6: Final answer
    x = 1,407,572.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.