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Finding the Third Proportional to 842,208.75 and 1,191,676.50

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Solution

The third proportional to 842,208.75 and 1,191,676.50 is: 1,686,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,208.75 : 1,191,676.50 = 1,191,676.50 : x
  2. Step 2: Convert to fraction form
    842,208.75/1,191,676.50 = 1,191,676.50/x
  3. Step 3: Cross multiply
    842,208.75x = 1,191,676.50 × 1,191,676.50
  4. Step 4: Simplify right side
    842,208.75x = 1,420,092,880,652.25
  5. Step 5: Solve for x
    x = 1,420,092,880,652.25/842,208.75
  6. Step 6: Final answer
    x = 1,686,153.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.