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Finding the Third Proportional to 351,088 and 748,832

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Solution

The third proportional to 351,088 and 748,832 is: 1,597,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,088 : 748,832 = 748,832 : x
  2. Step 2: Convert to fraction form
    351,088/748,832 = 748,832/x
  3. Step 3: Cross multiply
    351,088x = 748,832 × 748,832
  4. Step 4: Simplify right side
    351,088x = 560,749,364,224
  5. Step 5: Solve for x
    x = 560,749,364,224/351,088
  6. Step 6: Final answer
    x = 1,597,176.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.