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Finding the Third Proportional to 427,916.25 and 598,223.25

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Solution

The third proportional to 427,916.25 and 598,223.25 is: 836,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,916.25 : 598,223.25 = 598,223.25 : x
  2. Step 2: Convert to fraction form
    427,916.25/598,223.25 = 598,223.25/x
  3. Step 3: Cross multiply
    427,916.25x = 598,223.25 × 598,223.25
  4. Step 4: Simplify right side
    427,916.25x = 357,871,056,840.56
  5. Step 5: Solve for x
    x = 357,871,056,840.56/427,916.25
  6. Step 6: Final answer
    x = 836,310.98

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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.