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Finding the Third Proportional to 363,581 and 779,002

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Solution

The third proportional to 363,581 and 779,002 is: 1,669,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,581 : 779,002 = 779,002 : x
  2. Step 2: Convert to fraction form
    363,581/779,002 = 779,002/x
  3. Step 3: Cross multiply
    363,581x = 779,002 × 779,002
  4. Step 4: Simplify right side
    363,581x = 606,844,116,004
  5. Step 5: Solve for x
    x = 606,844,116,004/363,581
  6. Step 6: Final answer
    x = 1,669,075.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.