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Finding the Third Proportional to 305,412 and 671,050

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Solution

The third proportional to 305,412 and 671,050 is: 1,474,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,412 : 671,050 = 671,050 : x
  2. Step 2: Convert to fraction form
    305,412/671,050 = 671,050/x
  3. Step 3: Cross multiply
    305,412x = 671,050 × 671,050
  4. Step 4: Simplify right side
    305,412x = 450,308,102,500
  5. Step 5: Solve for x
    x = 450,308,102,500/305,412
  6. Step 6: Final answer
    x = 1,474,428.32

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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.