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Finding the Third Proportional to 360,169.50 and 776,202

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Solution

The third proportional to 360,169.50 and 776,202 is: 1,672,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,169.50 : 776,202 = 776,202 : x
  2. Step 2: Convert to fraction form
    360,169.50/776,202 = 776,202/x
  3. Step 3: Cross multiply
    360,169.50x = 776,202 × 776,202
  4. Step 4: Simplify right side
    360,169.50x = 602,489,544,804
  5. Step 5: Solve for x
    x = 602,489,544,804/360,169.50
  6. Step 6: Final answer
    x = 1,672,794.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.