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Finding the Third Proportional to 619,960 and 948,275

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Solution

The third proportional to 619,960 and 948,275 is: 1,450,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,960 : 948,275 = 948,275 : x
  2. Step 2: Convert to fraction form
    619,960/948,275 = 948,275/x
  3. Step 3: Cross multiply
    619,960x = 948,275 × 948,275
  4. Step 4: Simplify right side
    619,960x = 899,225,475,625
  5. Step 5: Solve for x
    x = 899,225,475,625/619,960
  6. Step 6: Final answer
    x = 1,450,457.25

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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.