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Finding the Third Proportional to 276,975 and 602,478.50

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Solution

The third proportional to 276,975 and 602,478.50 is: 1,310,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,975 : 602,478.50 = 602,478.50 : x
  2. Step 2: Convert to fraction form
    276,975/602,478.50 = 602,478.50/x
  3. Step 3: Cross multiply
    276,975x = 602,478.50 × 602,478.50
  4. Step 4: Simplify right side
    276,975x = 362,980,342,962.25
  5. Step 5: Solve for x
    x = 362,980,342,962.25/276,975
  6. Step 6: Final answer
    x = 1,310,516.63

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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.