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Finding the Third Proportional to 349,314 and 526,005

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Solution

The third proportional to 349,314 and 526,005 is: 792,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,314 : 526,005 = 526,005 : x
  2. Step 2: Convert to fraction form
    349,314/526,005 = 526,005/x
  3. Step 3: Cross multiply
    349,314x = 526,005 × 526,005
  4. Step 4: Simplify right side
    349,314x = 276,681,260,025
  5. Step 5: Solve for x
    x = 276,681,260,025/349,314
  6. Step 6: Final answer
    x = 792,070.34

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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.