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Finding the Third Proportional to 540,900 and 848,484

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Solution

The third proportional to 540,900 and 848,484 is: 1,330,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,900 : 848,484 = 848,484 : x
  2. Step 2: Convert to fraction form
    540,900/848,484 = 848,484/x
  3. Step 3: Cross multiply
    540,900x = 848,484 × 848,484
  4. Step 4: Simplify right side
    540,900x = 719,925,098,256
  5. Step 5: Solve for x
    x = 719,925,098,256/540,900
  6. Step 6: Final answer
    x = 1,330,976.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.