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Finding the Third Proportional to 287,674.50 and 605,683.50

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Solution

The third proportional to 287,674.50 and 605,683.50 is: 1,275,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,674.50 : 605,683.50 = 605,683.50 : x
  2. Step 2: Convert to fraction form
    287,674.50/605,683.50 = 605,683.50/x
  3. Step 3: Cross multiply
    287,674.50x = 605,683.50 × 605,683.50
  4. Step 4: Simplify right side
    287,674.50x = 366,852,502,172.25
  5. Step 5: Solve for x
    x = 366,852,502,172.25/287,674.50
  6. Step 6: Final answer
    x = 1,275,234.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.