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Finding the Third Proportional to 554,298 and 892,701

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Solution

The third proportional to 554,298 and 892,701 is: 1,437,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,298 : 892,701 = 892,701 : x
  2. Step 2: Convert to fraction form
    554,298/892,701 = 892,701/x
  3. Step 3: Cross multiply
    554,298x = 892,701 × 892,701
  4. Step 4: Simplify right side
    554,298x = 796,915,075,401
  5. Step 5: Solve for x
    x = 796,915,075,401/554,298
  6. Step 6: Final answer
    x = 1,437,701.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.