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Finding the Third Proportional to 478,953 and 798,223

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Solution

The third proportional to 478,953 and 798,223 is: 1,330,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,953 : 798,223 = 798,223 : x
  2. Step 2: Convert to fraction form
    478,953/798,223 = 798,223/x
  3. Step 3: Cross multiply
    478,953x = 798,223 × 798,223
  4. Step 4: Simplify right side
    478,953x = 637,159,957,729
  5. Step 5: Solve for x
    x = 637,159,957,729/478,953
  6. Step 6: Final answer
    x = 1,330,318.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.