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Finding the Third Proportional to 301,872 and 656,160

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Solution

The third proportional to 301,872 and 656,160 is: 1,426,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,872 : 656,160 = 656,160 : x
  2. Step 2: Convert to fraction form
    301,872/656,160 = 656,160/x
  3. Step 3: Cross multiply
    301,872x = 656,160 × 656,160
  4. Step 4: Simplify right side
    301,872x = 430,545,945,600
  5. Step 5: Solve for x
    x = 430,545,945,600/301,872
  6. Step 6: Final answer
    x = 1,426,253.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.