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Finding the Third Proportional to 242,467.88 and 526,906.13

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Solution

The third proportional to 242,467.88 and 526,906.13 is: 1,145,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,467.88 : 526,906.13 = 526,906.13 : x
  2. Step 2: Convert to fraction form
    242,467.88/526,906.13 = 526,906.13/x
  3. Step 3: Cross multiply
    242,467.88x = 526,906.13 × 526,906.13
  4. Step 4: Simplify right side
    242,467.88x = 277,630,064,562.52
  5. Step 5: Solve for x
    x = 277,630,064,562.52/242,467.88
  6. Step 6: Final answer
    x = 1,145,017.93

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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.