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Finding the Third Proportional to 288,036 and 628,488

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Solution

The third proportional to 288,036 and 628,488 is: 1,371,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,036 : 628,488 = 628,488 : x
  2. Step 2: Convert to fraction form
    288,036/628,488 = 628,488/x
  3. Step 3: Cross multiply
    288,036x = 628,488 × 628,488
  4. Step 4: Simplify right side
    288,036x = 394,997,166,144
  5. Step 5: Solve for x
    x = 394,997,166,144/288,036
  6. Step 6: Final answer
    x = 1,371,346.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.