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Finding the Third Proportional to 369,258,170 and 584,710,923

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Solution

The third proportional to 369,258,170 and 584,710,923 is: 925,874,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,258,170 : 584,710,923 = 584,710,923 : x
  2. Step 2: Convert to fraction form
    369,258,170/584,710,923 = 584,710,923/x
  3. Step 3: Cross multiply
    369,258,170x = 584,710,923 × 584,710,923
  4. Step 4: Simplify right side
    369,258,170x = 341,886,863,475,511,936
  5. Step 5: Solve for x
    x = 341,886,863,475,511,936/369,258,170
  6. Step 6: Final answer
    x = 925,874,879.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.