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Finding the Third Proportional to 565,953.75 and 856,220.63

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Solution

The third proportional to 565,953.75 and 856,220.63 is: 1,295,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,953.75 : 856,220.63 = 856,220.63 : x
  2. Step 2: Convert to fraction form
    565,953.75/856,220.63 = 856,220.63/x
  3. Step 3: Cross multiply
    565,953.75x = 856,220.63 × 856,220.63
  4. Step 4: Simplify right side
    565,953.75x = 733,113,758,675.39
  5. Step 5: Solve for x
    x = 733,113,758,675.39/565,953.75
  6. Step 6: Final answer
    x = 1,295,359.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.