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Finding the Third Proportional to 367,720 and 759,056

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Solution

The third proportional to 367,720 and 759,056 is: 1,566,860.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,720 : 759,056 = 759,056 : x
  2. Step 2: Convert to fraction form
    367,720/759,056 = 759,056/x
  3. Step 3: Cross multiply
    367,720x = 759,056 × 759,056
  4. Step 4: Simplify right side
    367,720x = 576,166,011,136
  5. Step 5: Solve for x
    x = 576,166,011,136/367,720
  6. Step 6: Final answer
    x = 1,566,860.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.