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Finding the Third Proportional to 257,762.50 and 565,958

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Solution

The third proportional to 257,762.50 and 565,958 is: 1,242,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,762.50 : 565,958 = 565,958 : x
  2. Step 2: Convert to fraction form
    257,762.50/565,958 = 565,958/x
  3. Step 3: Cross multiply
    257,762.50x = 565,958 × 565,958
  4. Step 4: Simplify right side
    257,762.50x = 320,308,457,764
  5. Step 5: Solve for x
    x = 320,308,457,764/257,762.50
  6. Step 6: Final answer
    x = 1,242,649.56

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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.