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Finding the Third Proportional to 526,400 and 750,232

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Solution

The third proportional to 526,400 and 750,232 is: 1,069,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,400 : 750,232 = 750,232 : x
  2. Step 2: Convert to fraction form
    526,400/750,232 = 750,232/x
  3. Step 3: Cross multiply
    526,400x = 750,232 × 750,232
  4. Step 4: Simplify right side
    526,400x = 562,848,053,824
  5. Step 5: Solve for x
    x = 562,848,053,824/526,400
  6. Step 6: Final answer
    x = 1,069,240.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.