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Finding the Third Proportional to 674,125.75 and 948,205.75

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Solution

The third proportional to 674,125.75 and 948,205.75 is: 1,333,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,125.75 : 948,205.75 = 948,205.75 : x
  2. Step 2: Convert to fraction form
    674,125.75/948,205.75 = 948,205.75/x
  3. Step 3: Cross multiply
    674,125.75x = 948,205.75 × 948,205.75
  4. Step 4: Simplify right side
    674,125.75x = 899,094,144,333.06
  5. Step 5: Solve for x
    x = 899,094,144,333.06/674,125.75
  6. Step 6: Final answer
    x = 1,333,718.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.