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Finding the Third Proportional to 364,716 and 758,424

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Solution

The third proportional to 364,716 and 758,424 is: 1,577,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,716 : 758,424 = 758,424 : x
  2. Step 2: Convert to fraction form
    364,716/758,424 = 758,424/x
  3. Step 3: Cross multiply
    364,716x = 758,424 × 758,424
  4. Step 4: Simplify right side
    364,716x = 575,206,963,776
  5. Step 5: Solve for x
    x = 575,206,963,776/364,716
  6. Step 6: Final answer
    x = 1,577,136.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.