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Finding the Third Proportional to 377,320 and 822,032

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Solution

The third proportional to 377,320 and 822,032 is: 1,790,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,320 : 822,032 = 822,032 : x
  2. Step 2: Convert to fraction form
    377,320/822,032 = 822,032/x
  3. Step 3: Cross multiply
    377,320x = 822,032 × 822,032
  4. Step 4: Simplify right side
    377,320x = 675,736,609,024
  5. Step 5: Solve for x
    x = 675,736,609,024/377,320
  6. Step 6: Final answer
    x = 1,790,884.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.