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Finding the Third Proportional to 377,007 and 797,646

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Solution

The third proportional to 377,007 and 797,646 is: 1,687,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,007 : 797,646 = 797,646 : x
  2. Step 2: Convert to fraction form
    377,007/797,646 = 797,646/x
  3. Step 3: Cross multiply
    377,007x = 797,646 × 797,646
  4. Step 4: Simplify right side
    377,007x = 636,239,141,316
  5. Step 5: Solve for x
    x = 636,239,141,316/377,007
  6. Step 6: Final answer
    x = 1,687,605.64

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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.