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Finding the Third Proportional to 455,590 and 701,223

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Solution

The third proportional to 455,590 and 701,223 is: 1,079,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,590 : 701,223 = 701,223 : x
  2. Step 2: Convert to fraction form
    455,590/701,223 = 701,223/x
  3. Step 3: Cross multiply
    455,590x = 701,223 × 701,223
  4. Step 4: Simplify right side
    455,590x = 491,713,695,729
  5. Step 5: Solve for x
    x = 491,713,695,729/455,590
  6. Step 6: Final answer
    x = 1,079,289.92

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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.