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Finding the Third Proportional to 377,499 and 798,723

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Solution

The third proportional to 377,499 and 798,723 is: 1,689,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,499 : 798,723 = 798,723 : x
  2. Step 2: Convert to fraction form
    377,499/798,723 = 798,723/x
  3. Step 3: Cross multiply
    377,499x = 798,723 × 798,723
  4. Step 4: Simplify right side
    377,499x = 637,958,430,729
  5. Step 5: Solve for x
    x = 637,958,430,729/377,499
  6. Step 6: Final answer
    x = 1,689,960.58

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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.