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Finding the Third Proportional to 349,313 and 526,004

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Solution

The third proportional to 349,313 and 526,004 is: 792,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,313 : 526,004 = 526,004 : x
  2. Step 2: Convert to fraction form
    349,313/526,004 = 526,004/x
  3. Step 3: Cross multiply
    349,313x = 526,004 × 526,004
  4. Step 4: Simplify right side
    349,313x = 276,680,208,016
  5. Step 5: Solve for x
    x = 276,680,208,016/349,313
  6. Step 6: Final answer
    x = 792,069.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.