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Finding the Third Proportional to 349,316 and 526,008

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Solution

The third proportional to 349,316 and 526,008 is: 792,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,316 : 526,008 = 526,008 : x
  2. Step 2: Convert to fraction form
    349,316/526,008 = 526,008/x
  3. Step 3: Cross multiply
    349,316x = 526,008 × 526,008
  4. Step 4: Simplify right side
    349,316x = 276,684,416,064
  5. Step 5: Solve for x
    x = 276,684,416,064/349,316
  6. Step 6: Final answer
    x = 792,074.84

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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.