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Finding the Third Proportional to 627,498 and 942,676.50

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Solution

The third proportional to 627,498 and 942,676.50 is: 1,416,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,498 : 942,676.50 = 942,676.50 : x
  2. Step 2: Convert to fraction form
    627,498/942,676.50 = 942,676.50/x
  3. Step 3: Cross multiply
    627,498x = 942,676.50 × 942,676.50
  4. Step 4: Simplify right side
    627,498x = 888,638,983,652.25
  5. Step 5: Solve for x
    x = 888,638,983,652.25/627,498
  6. Step 6: Final answer
    x = 1,416,162.26

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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.