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Finding the Third Proportional to 701,958.75 and 1,026,612.38

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Solution

The third proportional to 701,958.75 and 1,026,612.38 is: 1,501,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,958.75 : 1,026,612.38 = 1,026,612.38 : x
  2. Step 2: Convert to fraction form
    701,958.75/1,026,612.38 = 1,026,612.38/x
  3. Step 3: Cross multiply
    701,958.75x = 1,026,612.38 × 1,026,612.38
  4. Step 4: Simplify right side
    701,958.75x = 1,053,932,968,503.14
  5. Step 5: Solve for x
    x = 1,053,932,968,503.14/701,958.75
  6. Step 6: Final answer
    x = 1,501,417.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.