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Finding the Third Proportional to 615,211.88 and 963,138.94

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Solution

The third proportional to 615,211.88 and 963,138.94 is: 1,507,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,211.88 : 963,138.94 = 963,138.94 : x
  2. Step 2: Convert to fraction form
    615,211.88/963,138.94 = 963,138.94/x
  3. Step 3: Cross multiply
    615,211.88x = 963,138.94 × 963,138.94
  4. Step 4: Simplify right side
    615,211.88x = 927,636,612,928.63
  5. Step 5: Solve for x
    x = 927,636,612,928.63/615,211.88
  6. Step 6: Final answer
    x = 1,507,832.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.