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Finding the Third Proportional to 456,606 and 727,191

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Solution

The third proportional to 456,606 and 727,191 is: 1,158,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,606 : 727,191 = 727,191 : x
  2. Step 2: Convert to fraction form
    456,606/727,191 = 727,191/x
  3. Step 3: Cross multiply
    456,606x = 727,191 × 727,191
  4. Step 4: Simplify right side
    456,606x = 528,806,750,481
  5. Step 5: Solve for x
    x = 528,806,750,481/456,606
  6. Step 6: Final answer
    x = 1,158,124.84

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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.