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Finding the Third Proportional to 320,590 and 500,295

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Solution

The third proportional to 320,590 and 500,295 is: 780,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,590 : 500,295 = 500,295 : x
  2. Step 2: Convert to fraction form
    320,590/500,295 = 500,295/x
  3. Step 3: Cross multiply
    320,590x = 500,295 × 500,295
  4. Step 4: Simplify right side
    320,590x = 250,295,087,025
  5. Step 5: Solve for x
    x = 250,295,087,025/320,590
  6. Step 6: Final answer
    x = 780,732.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.