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Finding the Third Proportional to 389,624 and 827,362

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Solution

The third proportional to 389,624 and 827,362 is: 1,756,893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,624 : 827,362 = 827,362 : x
  2. Step 2: Convert to fraction form
    389,624/827,362 = 827,362/x
  3. Step 3: Cross multiply
    389,624x = 827,362 × 827,362
  4. Step 4: Simplify right side
    389,624x = 684,527,879,044
  5. Step 5: Solve for x
    x = 684,527,879,044/389,624
  6. Step 6: Final answer
    x = 1,756,893.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.