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Finding the Third Proportional to 296,832 and 657,696

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Solution

The third proportional to 296,832 and 657,696 is: 1,457,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,832 : 657,696 = 657,696 : x
  2. Step 2: Convert to fraction form
    296,832/657,696 = 657,696/x
  3. Step 3: Cross multiply
    296,832x = 657,696 × 657,696
  4. Step 4: Simplify right side
    296,832x = 432,564,028,416
  5. Step 5: Solve for x
    x = 432,564,028,416/296,832
  6. Step 6: Final answer
    x = 1,457,268.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.