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Finding the Third Proportional to 458,608.50 and 972,712.13

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Solution

The third proportional to 458,608.50 and 972,712.13 is: 2,063,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,608.50 : 972,712.13 = 972,712.13 : x
  2. Step 2: Convert to fraction form
    458,608.50/972,712.13 = 972,712.13/x
  3. Step 3: Cross multiply
    458,608.50x = 972,712.13 × 972,712.13
  4. Step 4: Simplify right side
    458,608.50x = 946,168,878,122.02
  5. Step 5: Solve for x
    x = 946,168,878,122.02/458,608.50
  6. Step 6: Final answer
    x = 2,063,129.83

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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.