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Finding the Third Proportional to 353,223 and 772,013

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Solution

The third proportional to 353,223 and 772,013 is: 1,687,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,223 : 772,013 = 772,013 : x
  2. Step 2: Convert to fraction form
    353,223/772,013 = 772,013/x
  3. Step 3: Cross multiply
    353,223x = 772,013 × 772,013
  4. Step 4: Simplify right side
    353,223x = 596,004,072,169
  5. Step 5: Solve for x
    x = 596,004,072,169/353,223
  6. Step 6: Final answer
    x = 1,687,330.87

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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.