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Finding the Third Proportional to 301,073.84 and 440,308.41

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Solution

The third proportional to 301,073.84 and 440,308.41 is: 643,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,073.84 : 440,308.41 = 440,308.41 : x
  2. Step 2: Convert to fraction form
    301,073.84/440,308.41 = 440,308.41/x
  3. Step 3: Cross multiply
    301,073.84x = 440,308.41 × 440,308.41
  4. Step 4: Simplify right side
    301,073.84x = 193,871,492,614.42
  5. Step 5: Solve for x
    x = 193,871,492,614.42/301,073.84
  6. Step 6: Final answer
    x = 643,933.38

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Why These Related Problems?

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