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Finding the Third Proportional to 307,152 and 465,021

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Solution

The third proportional to 307,152 and 465,021 is: 704,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,152 : 465,021 = 465,021 : x
  2. Step 2: Convert to fraction form
    307,152/465,021 = 465,021/x
  3. Step 3: Cross multiply
    307,152x = 465,021 × 465,021
  4. Step 4: Simplify right side
    307,152x = 216,244,530,441
  5. Step 5: Solve for x
    x = 216,244,530,441/307,152
  6. Step 6: Final answer
    x = 704,031.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.