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Finding the Third Proportional to 354,769.50 and 788,271

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Solution

The third proportional to 354,769.50 and 788,271 is: 1,751,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,769.50 : 788,271 = 788,271 : x
  2. Step 2: Convert to fraction form
    354,769.50/788,271 = 788,271/x
  3. Step 3: Cross multiply
    354,769.50x = 788,271 × 788,271
  4. Step 4: Simplify right side
    354,769.50x = 621,371,169,441
  5. Step 5: Solve for x
    x = 621,371,169,441/354,769.50
  6. Step 6: Final answer
    x = 1,751,478.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.