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Finding the Third Proportional to 262,939 and 375,970.50

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Solution

The third proportional to 262,939 and 375,970.50 is: 537,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,939 : 375,970.50 = 375,970.50 : x
  2. Step 2: Convert to fraction form
    262,939/375,970.50 = 375,970.50/x
  3. Step 3: Cross multiply
    262,939x = 375,970.50 × 375,970.50
  4. Step 4: Simplify right side
    262,939x = 141,353,816,870.25
  5. Step 5: Solve for x
    x = 141,353,816,870.25/262,939
  6. Step 6: Final answer
    x = 537,591.67

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