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Finding the Third Proportional to 323,028 and 452,660

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Solution

The third proportional to 323,028 and 452,660 is: 634,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,028 : 452,660 = 452,660 : x
  2. Step 2: Convert to fraction form
    323,028/452,660 = 452,660/x
  3. Step 3: Cross multiply
    323,028x = 452,660 × 452,660
  4. Step 4: Simplify right side
    323,028x = 204,901,075,600
  5. Step 5: Solve for x
    x = 204,901,075,600/323,028
  6. Step 6: Final answer
    x = 634,313.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.