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Finding the Third Proportional to 341,230.50 and 535,241.25

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Solution

The third proportional to 341,230.50 and 535,241.25 is: 839,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,230.50 : 535,241.25 = 535,241.25 : x
  2. Step 2: Convert to fraction form
    341,230.50/535,241.25 = 535,241.25/x
  3. Step 3: Cross multiply
    341,230.50x = 535,241.25 × 535,241.25
  4. Step 4: Simplify right side
    341,230.50x = 286,483,195,701.56
  5. Step 5: Solve for x
    x = 286,483,195,701.56/341,230.50
  6. Step 6: Final answer
    x = 839,559.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.