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Finding the Third Proportional to 456,082 and 706,265

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Solution

The third proportional to 456,082 and 706,265 is: 1,093,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,082 : 706,265 = 706,265 : x
  2. Step 2: Convert to fraction form
    456,082/706,265 = 706,265/x
  3. Step 3: Cross multiply
    456,082x = 706,265 × 706,265
  4. Step 4: Simplify right side
    456,082x = 498,810,250,225
  5. Step 5: Solve for x
    x = 498,810,250,225/456,082
  6. Step 6: Final answer
    x = 1,093,685.46

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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.