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Finding the Third Proportional to 224,907.75 and 478,941.75

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Solution

The third proportional to 224,907.75 and 478,941.75 is: 1,019,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,907.75 : 478,941.75 = 478,941.75 : x
  2. Step 2: Convert to fraction form
    224,907.75/478,941.75 = 478,941.75/x
  3. Step 3: Cross multiply
    224,907.75x = 478,941.75 × 478,941.75
  4. Step 4: Simplify right side
    224,907.75x = 229,385,199,893.06
  5. Step 5: Solve for x
    x = 229,385,199,893.06/224,907.75
  6. Step 6: Final answer
    x = 1,019,907.94

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.