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Finding the Third Proportional to 318,896 and 500,300

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Solution

The third proportional to 318,896 and 500,300 is: 784,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,896 : 500,300 = 500,300 : x
  2. Step 2: Convert to fraction form
    318,896/500,300 = 500,300/x
  3. Step 3: Cross multiply
    318,896x = 500,300 × 500,300
  4. Step 4: Simplify right side
    318,896x = 250,300,090,000
  5. Step 5: Solve for x
    x = 250,300,090,000/318,896
  6. Step 6: Final answer
    x = 784,895.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.