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Finding the Third Proportional to 443,130.50 and 687,457

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Solution

The third proportional to 443,130.50 and 687,457 is: 1,066,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,130.50 : 687,457 = 687,457 : x
  2. Step 2: Convert to fraction form
    443,130.50/687,457 = 687,457/x
  3. Step 3: Cross multiply
    443,130.50x = 687,457 × 687,457
  4. Step 4: Simplify right side
    443,130.50x = 472,597,126,849
  5. Step 5: Solve for x
    x = 472,597,126,849/443,130.50
  6. Step 6: Final answer
    x = 1,066,496.50

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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.