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Finding the Third Proportional to 358,049 and 501,913

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Solution

The third proportional to 358,049 and 501,913 is: 703,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,049 : 501,913 = 501,913 : x
  2. Step 2: Convert to fraction form
    358,049/501,913 = 501,913/x
  3. Step 3: Cross multiply
    358,049x = 501,913 × 501,913
  4. Step 4: Simplify right side
    358,049x = 251,916,659,569
  5. Step 5: Solve for x
    x = 251,916,659,569/358,049
  6. Step 6: Final answer
    x = 703,581.52

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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.