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Finding the Third Proportional to 358,056 and 501,930

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Solution

The third proportional to 358,056 and 501,930 is: 703,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,056 : 501,930 = 501,930 : x
  2. Step 2: Convert to fraction form
    358,056/501,930 = 501,930/x
  3. Step 3: Cross multiply
    358,056x = 501,930 × 501,930
  4. Step 4: Simplify right side
    358,056x = 251,933,724,900
  5. Step 5: Solve for x
    x = 251,933,724,900/358,056
  6. Step 6: Final answer
    x = 703,615.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.