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Finding the Third Proportional to 363,177,506.25 and 509,609,961

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Solution

The third proportional to 363,177,506.25 and 509,609,961 is: 715,083,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,177,506.25 : 509,609,961 = 509,609,961 : x
  2. Step 2: Convert to fraction form
    363,177,506.25/509,609,961 = 509,609,961/x
  3. Step 3: Cross multiply
    363,177,506.25x = 509,609,961 × 509,609,961
  4. Step 4: Simplify right side
    363,177,506.25x = 259,702,312,350,421,536
  5. Step 5: Solve for x
    x = 259,702,312,350,421,536/363,177,506.25
  6. Step 6: Final answer
    x = 715,083,692.91

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.