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Finding the Third Proportional to 305,562 and 657,932

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Solution

The third proportional to 305,562 and 657,932 is: 1,416,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,562 : 657,932 = 657,932 : x
  2. Step 2: Convert to fraction form
    305,562/657,932 = 657,932/x
  3. Step 3: Cross multiply
    305,562x = 657,932 × 657,932
  4. Step 4: Simplify right side
    305,562x = 432,874,516,624
  5. Step 5: Solve for x
    x = 432,874,516,624/305,562
  6. Step 6: Final answer
    x = 1,416,650.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.