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Finding the Third Proportional to 267,621 and 391,381.50

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Solution

The third proportional to 267,621 and 391,381.50 is: 572,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,621 : 391,381.50 = 391,381.50 : x
  2. Step 2: Convert to fraction form
    267,621/391,381.50 = 391,381.50/x
  3. Step 3: Cross multiply
    267,621x = 391,381.50 × 391,381.50
  4. Step 4: Simplify right side
    267,621x = 153,179,478,542.25
  5. Step 5: Solve for x
    x = 153,179,478,542.25/267,621
  6. Step 6: Final answer
    x = 572,374.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.