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Finding the Third Proportional to 287,530 and 623,932

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Solution

The third proportional to 287,530 and 623,932 is: 1,353,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,530 : 623,932 = 623,932 : x
  2. Step 2: Convert to fraction form
    287,530/623,932 = 623,932/x
  3. Step 3: Cross multiply
    287,530x = 623,932 × 623,932
  4. Step 4: Simplify right side
    287,530x = 389,291,140,624
  5. Step 5: Solve for x
    x = 389,291,140,624/287,530
  6. Step 6: Final answer
    x = 1,353,914.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.