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Finding the Third Proportional to 345,004 and 523,342

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Solution

The third proportional to 345,004 and 523,342 is: 793,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,004 : 523,342 = 523,342 : x
  2. Step 2: Convert to fraction form
    345,004/523,342 = 523,342/x
  3. Step 3: Cross multiply
    345,004x = 523,342 × 523,342
  4. Step 4: Simplify right side
    345,004x = 273,886,848,964
  5. Step 5: Solve for x
    x = 273,886,848,964/345,004
  6. Step 6: Final answer
    x = 793,865.72

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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.