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Finding the Third Proportional to 455,592 and 701,232

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Solution

The third proportional to 455,592 and 701,232 is: 1,079,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,592 : 701,232 = 701,232 : x
  2. Step 2: Convert to fraction form
    455,592/701,232 = 701,232/x
  3. Step 3: Cross multiply
    455,592x = 701,232 × 701,232
  4. Step 4: Simplify right side
    455,592x = 491,726,317,824
  5. Step 5: Solve for x
    x = 491,726,317,824/455,592
  6. Step 6: Final answer
    x = 1,079,312.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.