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Finding the Third Proportional to 241,224 and 513,646.50

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Solution

The third proportional to 241,224 and 513,646.50 is: 1,093,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,224 : 513,646.50 = 513,646.50 : x
  2. Step 2: Convert to fraction form
    241,224/513,646.50 = 513,646.50/x
  3. Step 3: Cross multiply
    241,224x = 513,646.50 × 513,646.50
  4. Step 4: Simplify right side
    241,224x = 263,832,726,962.25
  5. Step 5: Solve for x
    x = 263,832,726,962.25/241,224
  6. Step 6: Final answer
    x = 1,093,725.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.