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Finding the Third Proportional to 305,502 and 670,772

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Solution

The third proportional to 305,502 and 670,772 is: 1,472,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,502 : 670,772 = 670,772 : x
  2. Step 2: Convert to fraction form
    305,502/670,772 = 670,772/x
  3. Step 3: Cross multiply
    305,502x = 670,772 × 670,772
  4. Step 4: Simplify right side
    305,502x = 449,935,075,984
  5. Step 5: Solve for x
    x = 449,935,075,984/305,502
  6. Step 6: Final answer
    x = 1,472,772.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.