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Finding the Third Proportional to 377,010 and 797,652

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Solution

The third proportional to 377,010 and 797,652 is: 1,687,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,010 : 797,652 = 797,652 : x
  2. Step 2: Convert to fraction form
    377,010/797,652 = 797,652/x
  3. Step 3: Cross multiply
    377,010x = 797,652 × 797,652
  4. Step 4: Simplify right side
    377,010x = 636,248,713,104
  5. Step 5: Solve for x
    x = 636,248,713,104/377,010
  6. Step 6: Final answer
    x = 1,687,617.60

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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.