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Finding the Third Proportional to 360,178 and 776,218

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Solution

The third proportional to 360,178 and 776,218 is: 1,672,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,178 : 776,218 = 776,218 : x
  2. Step 2: Convert to fraction form
    360,178/776,218 = 776,218/x
  3. Step 3: Cross multiply
    360,178x = 776,218 × 776,218
  4. Step 4: Simplify right side
    360,178x = 602,514,383,524
  5. Step 5: Solve for x
    x = 602,514,383,524/360,178
  6. Step 6: Final answer
    x = 1,672,823.95

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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.