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Finding the Third Proportional to 356,988 and 776,176

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Solution

The third proportional to 356,988 and 776,176 is: 1,687,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,988 : 776,176 = 776,176 : x
  2. Step 2: Convert to fraction form
    356,988/776,176 = 776,176/x
  3. Step 3: Cross multiply
    356,988x = 776,176 × 776,176
  4. Step 4: Simplify right side
    356,988x = 602,449,182,976
  5. Step 5: Solve for x
    x = 602,449,182,976/356,988
  6. Step 6: Final answer
    x = 1,687,589.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.