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Finding the Third Proportional to 342,468 and 546,912

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Solution

The third proportional to 342,468 and 546,912 is: 873,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,468 : 546,912 = 546,912 : x
  2. Step 2: Convert to fraction form
    342,468/546,912 = 546,912/x
  3. Step 3: Cross multiply
    342,468x = 546,912 × 546,912
  4. Step 4: Simplify right side
    342,468x = 299,112,735,744
  5. Step 5: Solve for x
    x = 299,112,735,744/342,468
  6. Step 6: Final answer
    x = 873,403.46

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.