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Finding the Third Proportional to 305,412 and 657,651

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Solution

The third proportional to 305,412 and 657,651 is: 1,416,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,412 : 657,651 = 657,651 : x
  2. Step 2: Convert to fraction form
    305,412/657,651 = 657,651/x
  3. Step 3: Cross multiply
    305,412x = 657,651 × 657,651
  4. Step 4: Simplify right side
    305,412x = 432,504,837,801
  5. Step 5: Solve for x
    x = 432,504,837,801/305,412
  6. Step 6: Final answer
    x = 1,416,135.70

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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.