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Finding the Third Proportional to 455,588 and 701,220

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Solution

The third proportional to 455,588 and 701,220 is: 1,079,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,588 : 701,220 = 701,220 : x
  2. Step 2: Convert to fraction form
    455,588/701,220 = 701,220/x
  3. Step 3: Cross multiply
    455,588x = 701,220 × 701,220
  4. Step 4: Simplify right side
    455,588x = 491,709,488,400
  5. Step 5: Solve for x
    x = 491,709,488,400/455,588
  6. Step 6: Final answer
    x = 1,079,285.43

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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.