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Finding the Third Proportional to 443,162.81 and 687,506.91

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Solution

The third proportional to 443,162.81 and 687,506.91 is: 1,066,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,162.81 : 687,506.91 = 687,506.91 : x
  2. Step 2: Convert to fraction form
    443,162.81/687,506.91 = 687,506.91/x
  3. Step 3: Cross multiply
    443,162.81x = 687,506.91 × 687,506.91
  4. Step 4: Simplify right side
    443,162.81x = 472,665,746,141.45
  5. Step 5: Solve for x
    x = 472,665,746,141.45/443,162.81
  6. Step 6: Final answer
    x = 1,066,573.58

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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.