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Finding the Third Proportional to 275,300 and 403,852

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Solution

The third proportional to 275,300 and 403,852 is: 592,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,300 : 403,852 = 403,852 : x
  2. Step 2: Convert to fraction form
    275,300/403,852 = 403,852/x
  3. Step 3: Cross multiply
    275,300x = 403,852 × 403,852
  4. Step 4: Simplify right side
    275,300x = 163,096,437,904
  5. Step 5: Solve for x
    x = 163,096,437,904/275,300
  6. Step 6: Final answer
    x = 592,431.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.