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Finding the Third Proportional to 568,025 and 830,067.50

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Solution

The third proportional to 568,025 and 830,067.50 is: 1,212,996.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,025 : 830,067.50 = 830,067.50 : x
  2. Step 2: Convert to fraction form
    568,025/830,067.50 = 830,067.50/x
  3. Step 3: Cross multiply
    568,025x = 830,067.50 × 830,067.50
  4. Step 4: Simplify right side
    568,025x = 689,012,054,556.25
  5. Step 5: Solve for x
    x = 689,012,054,556.25/568,025
  6. Step 6: Final answer
    x = 1,212,996.00

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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.