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Finding the Third Proportional to 371,525 and 590,436

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Solution

The third proportional to 371,525 and 590,436 is: 938,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,525 : 590,436 = 590,436 : x
  2. Step 2: Convert to fraction form
    371,525/590,436 = 590,436/x
  3. Step 3: Cross multiply
    371,525x = 590,436 × 590,436
  4. Step 4: Simplify right side
    371,525x = 348,614,670,096
  5. Step 5: Solve for x
    x = 348,614,670,096/371,525
  6. Step 6: Final answer
    x = 938,334.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.