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Finding the Third Proportional to 545,051.53 and 836,643.94

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Solution

The third proportional to 545,051.53 and 836,643.94 is: 1,284,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,051.53 : 836,643.94 = 836,643.94 : x
  2. Step 2: Convert to fraction form
    545,051.53/836,643.94 = 836,643.94/x
  3. Step 3: Cross multiply
    545,051.53x = 836,643.94 × 836,643.94
  4. Step 4: Simplify right side
    545,051.53x = 699,973,078,155.50
  5. Step 5: Solve for x
    x = 699,973,078,155.50/545,051.53
  6. Step 6: Final answer
    x = 1,284,232.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.