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Finding the Third Proportional to 224,590.75 and 328,525.75

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Solution

The third proportional to 224,590.75 and 328,525.75 is: 480,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,590.75 : 328,525.75 = 328,525.75 : x
  2. Step 2: Convert to fraction form
    224,590.75/328,525.75 = 328,525.75/x
  3. Step 3: Cross multiply
    224,590.75x = 328,525.75 × 328,525.75
  4. Step 4: Simplify right side
    224,590.75x = 107,929,168,413.06
  5. Step 5: Solve for x
    x = 107,929,168,413.06/224,590.75
  6. Step 6: Final answer
    x = 480,559.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.