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Finding the Third Proportional to 262,129.50 and 571,887

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Solution

The third proportional to 262,129.50 and 571,887 is: 1,247,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,129.50 : 571,887 = 571,887 : x
  2. Step 2: Convert to fraction form
    262,129.50/571,887 = 571,887/x
  3. Step 3: Cross multiply
    262,129.50x = 571,887 × 571,887
  4. Step 4: Simplify right side
    262,129.50x = 327,054,740,769
  5. Step 5: Solve for x
    x = 327,054,740,769/262,129.50
  6. Step 6: Final answer
    x = 1,247,683.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.