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Finding the Third Proportional to 375,492 and 581,064

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Solution

The third proportional to 375,492 and 581,064 is: 899,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,492 : 581,064 = 581,064 : x
  2. Step 2: Convert to fraction form
    375,492/581,064 = 581,064/x
  3. Step 3: Cross multiply
    375,492x = 581,064 × 581,064
  4. Step 4: Simplify right side
    375,492x = 337,635,372,096
  5. Step 5: Solve for x
    x = 337,635,372,096/375,492
  6. Step 6: Final answer
    x = 899,181.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.