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Finding the Third Proportional to 561,927 and 839,566.50

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Solution

The third proportional to 561,927 and 839,566.50 is: 1,254,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,927 : 839,566.50 = 839,566.50 : x
  2. Step 2: Convert to fraction form
    561,927/839,566.50 = 839,566.50/x
  3. Step 3: Cross multiply
    561,927x = 839,566.50 × 839,566.50
  4. Step 4: Simplify right side
    561,927x = 704,871,907,922.25
  5. Step 5: Solve for x
    x = 704,871,907,922.25/561,927
  6. Step 6: Final answer
    x = 1,254,383.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.