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Finding the Third Proportional to 427,801.50 and 598,127.25

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Solution

The third proportional to 427,801.50 and 598,127.25 is: 836,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,801.50 : 598,127.25 = 598,127.25 : x
  2. Step 2: Convert to fraction form
    427,801.50/598,127.25 = 598,127.25/x
  3. Step 3: Cross multiply
    427,801.50x = 598,127.25 × 598,127.25
  4. Step 4: Simplify right side
    427,801.50x = 357,756,207,192.56
  5. Step 5: Solve for x
    x = 357,756,207,192.56/427,801.50
  6. Step 6: Final answer
    x = 836,266.84

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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.