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Finding the Third Proportional to 368,054 and 557,603

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Solution

The third proportional to 368,054 and 557,603 is: 844,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,054 : 557,603 = 557,603 : x
  2. Step 2: Convert to fraction form
    368,054/557,603 = 557,603/x
  3. Step 3: Cross multiply
    368,054x = 557,603 × 557,603
  4. Step 4: Simplify right side
    368,054x = 310,921,105,609
  5. Step 5: Solve for x
    x = 310,921,105,609/368,054
  6. Step 6: Final answer
    x = 844,770.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.