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Finding the Third Proportional to 526,736 and 788,660.50

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Solution

The third proportional to 526,736 and 788,660.50 is: 1,180,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,736 : 788,660.50 = 788,660.50 : x
  2. Step 2: Convert to fraction form
    526,736/788,660.50 = 788,660.50/x
  3. Step 3: Cross multiply
    526,736x = 788,660.50 × 788,660.50
  4. Step 4: Simplify right side
    526,736x = 621,985,384,260.25
  5. Step 5: Solve for x
    x = 621,985,384,260.25/526,736
  6. Step 6: Final answer
    x = 1,180,829.46

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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.