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Finding the Third Proportional to 360,247.50 and 776,164.50

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Solution

The third proportional to 360,247.50 and 776,164.50 is: 1,672,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,247.50 : 776,164.50 = 776,164.50 : x
  2. Step 2: Convert to fraction form
    360,247.50/776,164.50 = 776,164.50/x
  3. Step 3: Cross multiply
    360,247.50x = 776,164.50 × 776,164.50
  4. Step 4: Simplify right side
    360,247.50x = 602,431,331,060.25
  5. Step 5: Solve for x
    x = 602,431,331,060.25/360,247.50
  6. Step 6: Final answer
    x = 1,672,270.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.