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Finding the Third Proportional to 510,057 and 1,191,307.50

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Solution

The third proportional to 510,057 and 1,191,307.50 is: 2,782,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,057 : 1,191,307.50 = 1,191,307.50 : x
  2. Step 2: Convert to fraction form
    510,057/1,191,307.50 = 1,191,307.50/x
  3. Step 3: Cross multiply
    510,057x = 1,191,307.50 × 1,191,307.50
  4. Step 4: Simplify right side
    510,057x = 1,419,213,559,556.25
  5. Step 5: Solve for x
    x = 1,419,213,559,556.25/510,057
  6. Step 6: Final answer
    x = 2,782,460.70

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.