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Finding the Third Proportional to 516,498 and 789,546

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Solution

The third proportional to 516,498 and 789,546 is: 1,206,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,498 : 789,546 = 789,546 : x
  2. Step 2: Convert to fraction form
    516,498/789,546 = 789,546/x
  3. Step 3: Cross multiply
    516,498x = 789,546 × 789,546
  4. Step 4: Simplify right side
    516,498x = 623,382,886,116
  5. Step 5: Solve for x
    x = 623,382,886,116/516,498
  6. Step 6: Final answer
    x = 1,206,941.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.