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Finding the Third Proportional to 427,776.75 and 598,093.50

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Solution

The third proportional to 427,776.75 and 598,093.50 is: 836,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,776.75 : 598,093.50 = 598,093.50 : x
  2. Step 2: Convert to fraction form
    427,776.75/598,093.50 = 598,093.50/x
  3. Step 3: Cross multiply
    427,776.75x = 598,093.50 × 598,093.50
  4. Step 4: Simplify right side
    427,776.75x = 357,715,834,742.25
  5. Step 5: Solve for x
    x = 357,715,834,742.25/427,776.75
  6. Step 6: Final answer
    x = 836,220.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.