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Finding the Third Proportional to 571,927 and 838,773

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Solution

The third proportional to 571,927 and 838,773 is: 1,230,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,927 : 838,773 = 838,773 : x
  2. Step 2: Convert to fraction form
    571,927/838,773 = 838,773/x
  3. Step 3: Cross multiply
    571,927x = 838,773 × 838,773
  4. Step 4: Simplify right side
    571,927x = 703,540,145,529
  5. Step 5: Solve for x
    x = 703,540,145,529/571,927
  6. Step 6: Final answer
    x = 1,230,122.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.