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Finding the Third Proportional to 385,903.50 and 550,479

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Solution

The third proportional to 385,903.50 and 550,479 is: 785,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,903.50 : 550,479 = 550,479 : x
  2. Step 2: Convert to fraction form
    385,903.50/550,479 = 550,479/x
  3. Step 3: Cross multiply
    385,903.50x = 550,479 × 550,479
  4. Step 4: Simplify right side
    385,903.50x = 303,027,129,441
  5. Step 5: Solve for x
    x = 303,027,129,441/385,903.50
  6. Step 6: Final answer
    x = 785,240.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.