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Finding the Third Proportional to 386,961 and 586,283

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Solution

The third proportional to 386,961 and 586,283 is: 888,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,961 : 586,283 = 586,283 : x
  2. Step 2: Convert to fraction form
    386,961/586,283 = 586,283/x
  3. Step 3: Cross multiply
    386,961x = 586,283 × 586,283
  4. Step 4: Simplify right side
    386,961x = 343,727,756,089
  5. Step 5: Solve for x
    x = 343,727,756,089/386,961
  6. Step 6: Final answer
    x = 888,274.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.