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Finding the Third Proportional to 770,303.25 and 1,126,928.25

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Solution

The third proportional to 770,303.25 and 1,126,928.25 is: 1,648,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,303.25 : 1,126,928.25 = 1,126,928.25 : x
  2. Step 2: Convert to fraction form
    770,303.25/1,126,928.25 = 1,126,928.25/x
  3. Step 3: Cross multiply
    770,303.25x = 1,126,928.25 × 1,126,928.25
  4. Step 4: Simplify right side
    770,303.25x = 1,269,967,280,648.06
  5. Step 5: Solve for x
    x = 1,269,967,280,648.06/770,303.25
  6. Step 6: Final answer
    x = 1,648,658.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.