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Finding the Third Proportional to 360,180 and 776,222

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Solution

The third proportional to 360,180 and 776,222 is: 1,672,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,180 : 776,222 = 776,222 : x
  2. Step 2: Convert to fraction form
    360,180/776,222 = 776,222/x
  3. Step 3: Cross multiply
    360,180x = 776,222 × 776,222
  4. Step 4: Simplify right side
    360,180x = 602,520,593,284
  5. Step 5: Solve for x
    x = 602,520,593,284/360,180
  6. Step 6: Final answer
    x = 1,672,831.90

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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.