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Finding the Third Proportional to 362,697 and 783,786

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Solution

The third proportional to 362,697 and 783,786 is: 1,693,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,697 : 783,786 = 783,786 : x
  2. Step 2: Convert to fraction form
    362,697/783,786 = 783,786/x
  3. Step 3: Cross multiply
    362,697x = 783,786 × 783,786
  4. Step 4: Simplify right side
    362,697x = 614,320,493,796
  5. Step 5: Solve for x
    x = 614,320,493,796/362,697
  6. Step 6: Final answer
    x = 1,693,756.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.