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Finding the Third Proportional to 273,476 and 590,769.50

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Solution

The third proportional to 273,476 and 590,769.50 is: 1,276,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,476 : 590,769.50 = 590,769.50 : x
  2. Step 2: Convert to fraction form
    273,476/590,769.50 = 590,769.50/x
  3. Step 3: Cross multiply
    273,476x = 590,769.50 × 590,769.50
  4. Step 4: Simplify right side
    273,476x = 349,008,602,130.25
  5. Step 5: Solve for x
    x = 349,008,602,130.25/273,476
  6. Step 6: Final answer
    x = 1,276,194.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.