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Finding the Third Proportional to 641,005 and 928,435.50

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Solution

The third proportional to 641,005 and 928,435.50 is: 1,344,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,005 : 928,435.50 = 928,435.50 : x
  2. Step 2: Convert to fraction form
    641,005/928,435.50 = 928,435.50/x
  3. Step 3: Cross multiply
    641,005x = 928,435.50 × 928,435.50
  4. Step 4: Simplify right side
    641,005x = 861,992,477,660.25
  5. Step 5: Solve for x
    x = 861,992,477,660.25/641,005
  6. Step 6: Final answer
    x = 1,344,751.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.