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Finding the Third Proportional to 619,464.38 and 957,438.56

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Solution

The third proportional to 619,464.38 and 957,438.56 is: 1,479,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,464.38 : 957,438.56 = 957,438.56 : x
  2. Step 2: Convert to fraction form
    619,464.38/957,438.56 = 957,438.56/x
  3. Step 3: Cross multiply
    619,464.38x = 957,438.56 × 957,438.56
  4. Step 4: Simplify right side
    619,464.38x = 916,688,600,962.07
  5. Step 5: Solve for x
    x = 916,688,600,962.07/619,464.38
  6. Step 6: Final answer
    x = 1,479,808.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.