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Finding the Third Proportional to 242,610 and 526,660

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Solution

The third proportional to 242,610 and 526,660 is: 1,143,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,610 : 526,660 = 526,660 : x
  2. Step 2: Convert to fraction form
    242,610/526,660 = 526,660/x
  3. Step 3: Cross multiply
    242,610x = 526,660 × 526,660
  4. Step 4: Simplify right side
    242,610x = 277,370,755,600
  5. Step 5: Solve for x
    x = 277,370,755,600/242,610
  6. Step 6: Final answer
    x = 1,143,278.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.