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Finding the Third Proportional to 365,836 and 549,728

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Solution

The third proportional to 365,836 and 549,728 is: 826,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,836 : 549,728 = 549,728 : x
  2. Step 2: Convert to fraction form
    365,836/549,728 = 549,728/x
  3. Step 3: Cross multiply
    365,836x = 549,728 × 549,728
  4. Step 4: Simplify right side
    365,836x = 302,200,873,984
  5. Step 5: Solve for x
    x = 302,200,873,984/365,836
  6. Step 6: Final answer
    x = 826,055.59

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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.