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Finding the Third Proportional to 604,728 and 874,148

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Solution

The third proportional to 604,728 and 874,148 is: 1,263,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,728 : 874,148 = 874,148 : x
  2. Step 2: Convert to fraction form
    604,728/874,148 = 874,148/x
  3. Step 3: Cross multiply
    604,728x = 874,148 × 874,148
  4. Step 4: Simplify right side
    604,728x = 764,134,725,904
  5. Step 5: Solve for x
    x = 764,134,725,904/604,728
  6. Step 6: Final answer
    x = 1,263,600.70

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.