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Finding the Third Proportional to 619,953.75 and 948,267

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Solution

The third proportional to 619,953.75 and 948,267 is: 1,450,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,953.75 : 948,267 = 948,267 : x
  2. Step 2: Convert to fraction form
    619,953.75/948,267 = 948,267/x
  3. Step 3: Cross multiply
    619,953.75x = 948,267 × 948,267
  4. Step 4: Simplify right side
    619,953.75x = 899,210,303,289
  5. Step 5: Solve for x
    x = 899,210,303,289/619,953.75
  6. Step 6: Final answer
    x = 1,450,447.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.