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Finding the Third Proportional to 345,056 and 526,800

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Solution

The third proportional to 345,056 and 526,800 is: 804,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,056 : 526,800 = 526,800 : x
  2. Step 2: Convert to fraction form
    345,056/526,800 = 526,800/x
  3. Step 3: Cross multiply
    345,056x = 526,800 × 526,800
  4. Step 4: Simplify right side
    345,056x = 277,518,240,000
  5. Step 5: Solve for x
    x = 277,518,240,000/345,056
  6. Step 6: Final answer
    x = 804,270.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.