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Finding the Third Proportional to 675,698.25 and 910,120.50

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Solution

The third proportional to 675,698.25 and 910,120.50 is: 1,225,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,698.25 : 910,120.50 = 910,120.50 : x
  2. Step 2: Convert to fraction form
    675,698.25/910,120.50 = 910,120.50/x
  3. Step 3: Cross multiply
    675,698.25x = 910,120.50 × 910,120.50
  4. Step 4: Simplify right side
    675,698.25x = 828,319,324,520.25
  5. Step 5: Solve for x
    x = 828,319,324,520.25/675,698.25
  6. Step 6: Final answer
    x = 1,225,871.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.