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Finding the Third Proportional to 276,842 and 603,711.50

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Solution

The third proportional to 276,842 and 603,711.50 is: 1,316,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,842 : 603,711.50 = 603,711.50 : x
  2. Step 2: Convert to fraction form
    276,842/603,711.50 = 603,711.50/x
  3. Step 3: Cross multiply
    276,842x = 603,711.50 × 603,711.50
  4. Step 4: Simplify right side
    276,842x = 364,467,575,232.25
  5. Step 5: Solve for x
    x = 364,467,575,232.25/276,842
  6. Step 6: Final answer
    x = 1,316,518.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.