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Finding the Third Proportional to 339,451 and 706,792

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Solution

The third proportional to 339,451 and 706,792 is: 1,471,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,451 : 706,792 = 706,792 : x
  2. Step 2: Convert to fraction form
    339,451/706,792 = 706,792/x
  3. Step 3: Cross multiply
    339,451x = 706,792 × 706,792
  4. Step 4: Simplify right side
    339,451x = 499,554,931,264
  5. Step 5: Solve for x
    x = 499,554,931,264/339,451
  6. Step 6: Final answer
    x = 1,471,655.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.