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Finding the Third Proportional to 248,223 and 535,803

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Solution

The third proportional to 248,223 and 535,803 is: 1,156,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,223 : 535,803 = 535,803 : x
  2. Step 2: Convert to fraction form
    248,223/535,803 = 535,803/x
  3. Step 3: Cross multiply
    248,223x = 535,803 × 535,803
  4. Step 4: Simplify right side
    248,223x = 287,084,854,809
  5. Step 5: Solve for x
    x = 287,084,854,809/248,223
  6. Step 6: Final answer
    x = 1,156,560.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.