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Finding the Third Proportional to 456,608 and 727,194

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Solution

The third proportional to 456,608 and 727,194 is: 1,158,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,608 : 727,194 = 727,194 : x
  2. Step 2: Convert to fraction form
    456,608/727,194 = 727,194/x
  3. Step 3: Cross multiply
    456,608x = 727,194 × 727,194
  4. Step 4: Simplify right side
    456,608x = 528,811,113,636
  5. Step 5: Solve for x
    x = 528,811,113,636/456,608
  6. Step 6: Final answer
    x = 1,158,129.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.