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Finding the Third Proportional to 305,487 and 671,202

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Solution

The third proportional to 305,487 and 671,202 is: 1,474,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,487 : 671,202 = 671,202 : x
  2. Step 2: Convert to fraction form
    305,487/671,202 = 671,202/x
  3. Step 3: Cross multiply
    305,487x = 671,202 × 671,202
  4. Step 4: Simplify right side
    305,487x = 450,512,124,804
  5. Step 5: Solve for x
    x = 450,512,124,804/305,487
  6. Step 6: Final answer
    x = 1,474,734.19

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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.