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Finding the Third Proportional to 276,878.25 and 651,911.63

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Solution

The third proportional to 276,878.25 and 651,911.63 is: 1,534,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,878.25 : 651,911.63 = 651,911.63 : x
  2. Step 2: Convert to fraction form
    276,878.25/651,911.63 = 651,911.63/x
  3. Step 3: Cross multiply
    276,878.25x = 651,911.63 × 651,911.63
  4. Step 4: Simplify right side
    276,878.25x = 424,988,766,810.14
  5. Step 5: Solve for x
    x = 424,988,766,810.14/276,878.25
  6. Step 6: Final answer
    x = 1,534,930.12

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.