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Finding the Third Proportional to 336,363 and 505,962

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Solution

The third proportional to 336,363 and 505,962 is: 761,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,363 : 505,962 = 505,962 : x
  2. Step 2: Convert to fraction form
    336,363/505,962 = 505,962/x
  3. Step 3: Cross multiply
    336,363x = 505,962 × 505,962
  4. Step 4: Simplify right side
    336,363x = 255,997,545,444
  5. Step 5: Solve for x
    x = 255,997,545,444/336,363
  6. Step 6: Final answer
    x = 761,075.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.