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Finding the Third Proportional to 351,720 and 544,392

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Solution

The third proportional to 351,720 and 544,392 is: 842,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,720 : 544,392 = 544,392 : x
  2. Step 2: Convert to fraction form
    351,720/544,392 = 544,392/x
  3. Step 3: Cross multiply
    351,720x = 544,392 × 544,392
  4. Step 4: Simplify right side
    351,720x = 296,362,649,664
  5. Step 5: Solve for x
    x = 296,362,649,664/351,720
  6. Step 6: Final answer
    x = 842,609.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.