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Finding the Third Proportional to 353,121.75 and 772,983

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Solution

The third proportional to 353,121.75 and 772,983 is: 1,692,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,121.75 : 772,983 = 772,983 : x
  2. Step 2: Convert to fraction form
    353,121.75/772,983 = 772,983/x
  3. Step 3: Cross multiply
    353,121.75x = 772,983 × 772,983
  4. Step 4: Simplify right side
    353,121.75x = 597,502,718,289
  5. Step 5: Solve for x
    x = 597,502,718,289/353,121.75
  6. Step 6: Final answer
    x = 1,692,058.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.