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Finding the Third Proportional to 307,622 and 465,532

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Solution

The third proportional to 307,622 and 465,532 is: 704,501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,622 : 465,532 = 465,532 : x
  2. Step 2: Convert to fraction form
    307,622/465,532 = 465,532/x
  3. Step 3: Cross multiply
    307,622x = 465,532 × 465,532
  4. Step 4: Simplify right side
    307,622x = 216,720,043,024
  5. Step 5: Solve for x
    x = 216,720,043,024/307,622
  6. Step 6: Final answer
    x = 704,501.12

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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.