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Finding the Third Proportional to 350,362.50 and 768,549

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Solution

The third proportional to 350,362.50 and 768,549 is: 1,685,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,362.50 : 768,549 = 768,549 : x
  2. Step 2: Convert to fraction form
    350,362.50/768,549 = 768,549/x
  3. Step 3: Cross multiply
    350,362.50x = 768,549 × 768,549
  4. Step 4: Simplify right side
    350,362.50x = 590,667,565,401
  5. Step 5: Solve for x
    x = 590,667,565,401/350,362.50
  6. Step 6: Final answer
    x = 1,685,875.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.