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Finding the Third Proportional to 427,774.50 and 598,090.50

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Solution

The third proportional to 427,774.50 and 598,090.50 is: 836,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,774.50 : 598,090.50 = 598,090.50 : x
  2. Step 2: Convert to fraction form
    427,774.50/598,090.50 = 598,090.50/x
  3. Step 3: Cross multiply
    427,774.50x = 598,090.50 × 598,090.50
  4. Step 4: Simplify right side
    427,774.50x = 357,712,246,190.25
  5. Step 5: Solve for x
    x = 357,712,246,190.25/427,774.50
  6. Step 6: Final answer
    x = 836,216.85

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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.