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Finding the Third Proportional to 554,388 and 772,401

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Solution

The third proportional to 554,388 and 772,401 is: 1,076,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,388 : 772,401 = 772,401 : x
  2. Step 2: Convert to fraction form
    554,388/772,401 = 772,401/x
  3. Step 3: Cross multiply
    554,388x = 772,401 × 772,401
  4. Step 4: Simplify right side
    554,388x = 596,603,304,801
  5. Step 5: Solve for x
    x = 596,603,304,801/554,388
  6. Step 6: Final answer
    x = 1,076,147.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.