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Finding the Third Proportional to 259,407 and 568,021.50

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Solution

The third proportional to 259,407 and 568,021.50 is: 1,243,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,407 : 568,021.50 = 568,021.50 : x
  2. Step 2: Convert to fraction form
    259,407/568,021.50 = 568,021.50/x
  3. Step 3: Cross multiply
    259,407x = 568,021.50 × 568,021.50
  4. Step 4: Simplify right side
    259,407x = 322,648,424,462.25
  5. Step 5: Solve for x
    x = 322,648,424,462.25/259,407
  6. Step 6: Final answer
    x = 1,243,792.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.