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Finding the Third Proportional to 370,375.50 and 524,423.25

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Solution

The third proportional to 370,375.50 and 524,423.25 is: 742,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,375.50 : 524,423.25 = 524,423.25 : x
  2. Step 2: Convert to fraction form
    370,375.50/524,423.25 = 524,423.25/x
  3. Step 3: Cross multiply
    370,375.50x = 524,423.25 × 524,423.25
  4. Step 4: Simplify right side
    370,375.50x = 275,019,745,140.56
  5. Step 5: Solve for x
    x = 275,019,745,140.56/370,375.50
  6. Step 6: Final answer
    x = 742,543.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.