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Finding the Third Proportional to 376,688.81 and 568,431.84

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Solution

The third proportional to 376,688.81 and 568,431.84 is: 857,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,688.81 : 568,431.84 = 568,431.84 : x
  2. Step 2: Convert to fraction form
    376,688.81/568,431.84 = 568,431.84/x
  3. Step 3: Cross multiply
    376,688.81x = 568,431.84 × 568,431.84
  4. Step 4: Simplify right side
    376,688.81x = 323,114,760,989.02
  5. Step 5: Solve for x
    x = 323,114,760,989.02/376,688.81
  6. Step 6: Final answer
    x = 857,776.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.