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Finding the Third Proportional to 363,116 and 559,988

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Solution

The third proportional to 363,116 and 559,988 is: 863,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,116 : 559,988 = 559,988 : x
  2. Step 2: Convert to fraction form
    363,116/559,988 = 559,988/x
  3. Step 3: Cross multiply
    363,116x = 559,988 × 559,988
  4. Step 4: Simplify right side
    363,116x = 313,586,560,144
  5. Step 5: Solve for x
    x = 313,586,560,144/363,116
  6. Step 6: Final answer
    x = 863,598.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.