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Finding the Third Proportional to 352,080 and 526,770

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Solution

The third proportional to 352,080 and 526,770 is: 788,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,080 : 526,770 = 526,770 : x
  2. Step 2: Convert to fraction form
    352,080/526,770 = 526,770/x
  3. Step 3: Cross multiply
    352,080x = 526,770 × 526,770
  4. Step 4: Simplify right side
    352,080x = 277,486,632,900
  5. Step 5: Solve for x
    x = 277,486,632,900/352,080
  6. Step 6: Final answer
    x = 788,135.18

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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.