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Finding the Third Proportional to 349,970 and 526,290

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Solution

The third proportional to 349,970 and 526,290 is: 791,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,970 : 526,290 = 526,290 : x
  2. Step 2: Convert to fraction form
    349,970/526,290 = 526,290/x
  3. Step 3: Cross multiply
    349,970x = 526,290 × 526,290
  4. Step 4: Simplify right side
    349,970x = 276,981,164,100
  5. Step 5: Solve for x
    x = 276,981,164,100/349,970
  6. Step 6: Final answer
    x = 791,442.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.