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Finding the Third Proportional to 242,467.50 and 526,407

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Solution

The third proportional to 242,467.50 and 526,407 is: 1,142,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,467.50 : 526,407 = 526,407 : x
  2. Step 2: Convert to fraction form
    242,467.50/526,407 = 526,407/x
  3. Step 3: Cross multiply
    242,467.50x = 526,407 × 526,407
  4. Step 4: Simplify right side
    242,467.50x = 277,104,329,649
  5. Step 5: Solve for x
    x = 277,104,329,649/242,467.50
  6. Step 6: Final answer
    x = 1,142,851.43

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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.