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Finding the Third Proportional to 443,131 and 687,457.50

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Solution

The third proportional to 443,131 and 687,457.50 is: 1,066,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,131 : 687,457.50 = 687,457.50 : x
  2. Step 2: Convert to fraction form
    443,131/687,457.50 = 687,457.50/x
  3. Step 3: Cross multiply
    443,131x = 687,457.50 × 687,457.50
  4. Step 4: Simplify right side
    443,131x = 472,597,814,306.25
  5. Step 5: Solve for x
    x = 472,597,814,306.25/443,131
  6. Step 6: Final answer
    x = 1,066,496.85

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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.