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Finding the Third Proportional to 283,241.81 and 432,256.50

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Solution

The third proportional to 283,241.81 and 432,256.50 is: 659,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,241.81 : 432,256.50 = 432,256.50 : x
  2. Step 2: Convert to fraction form
    283,241.81/432,256.50 = 432,256.50/x
  3. Step 3: Cross multiply
    283,241.81x = 432,256.50 × 432,256.50
  4. Step 4: Simplify right side
    283,241.81x = 186,845,681,792.25
  5. Step 5: Solve for x
    x = 186,845,681,792.25/283,241.81
  6. Step 6: Final answer
    x = 659,668.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.