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Finding the Third Proportional to 458,640.50 and 972,785

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Solution

The third proportional to 458,640.50 and 972,785 is: 2,063,295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,640.50 : 972,785 = 972,785 : x
  2. Step 2: Convert to fraction form
    458,640.50/972,785 = 972,785/x
  3. Step 3: Cross multiply
    458,640.50x = 972,785 × 972,785
  4. Step 4: Simplify right side
    458,640.50x = 946,310,656,225
  5. Step 5: Solve for x
    x = 946,310,656,225/458,640.50
  6. Step 6: Final answer
    x = 2,063,295.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.