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Finding the Third Proportional to 559,016 and 790,248

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Solution

The third proportional to 559,016 and 790,248 is: 1,117,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,016 : 790,248 = 790,248 : x
  2. Step 2: Convert to fraction form
    559,016/790,248 = 790,248/x
  3. Step 3: Cross multiply
    559,016x = 790,248 × 790,248
  4. Step 4: Simplify right side
    559,016x = 624,491,901,504
  5. Step 5: Solve for x
    x = 624,491,901,504/559,016
  6. Step 6: Final answer
    x = 1,117,127.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.