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Finding the Third Proportional to 262,705.50 and 577,899

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Solution

The third proportional to 262,705.50 and 577,899 is: 1,271,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,705.50 : 577,899 = 577,899 : x
  2. Step 2: Convert to fraction form
    262,705.50/577,899 = 577,899/x
  3. Step 3: Cross multiply
    262,705.50x = 577,899 × 577,899
  4. Step 4: Simplify right side
    262,705.50x = 333,967,254,201
  5. Step 5: Solve for x
    x = 333,967,254,201/262,705.50
  6. Step 6: Final answer
    x = 1,271,260.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.