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Finding the Third Proportional to 276,411 and 580,672.50

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Solution

The third proportional to 276,411 and 580,672.50 is: 1,219,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,411 : 580,672.50 = 580,672.50 : x
  2. Step 2: Convert to fraction form
    276,411/580,672.50 = 580,672.50/x
  3. Step 3: Cross multiply
    276,411x = 580,672.50 × 580,672.50
  4. Step 4: Simplify right side
    276,411x = 337,180,552,256.25
  5. Step 5: Solve for x
    x = 337,180,552,256.25/276,411
  6. Step 6: Final answer
    x = 1,219,852.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.