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Finding the Third Proportional to 358,137 and 559,002

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Solution

The third proportional to 358,137 and 559,002 is: 872,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,137 : 559,002 = 559,002 : x
  2. Step 2: Convert to fraction form
    358,137/559,002 = 559,002/x
  3. Step 3: Cross multiply
    358,137x = 559,002 × 559,002
  4. Step 4: Simplify right side
    358,137x = 312,483,236,004
  5. Step 5: Solve for x
    x = 312,483,236,004/358,137
  6. Step 6: Final answer
    x = 872,524.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.