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Finding the Third Proportional to 294,329 and 455,642

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Solution

The third proportional to 294,329 and 455,642 is: 705,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,329 : 455,642 = 455,642 : x
  2. Step 2: Convert to fraction form
    294,329/455,642 = 455,642/x
  3. Step 3: Cross multiply
    294,329x = 455,642 × 455,642
  4. Step 4: Simplify right side
    294,329x = 207,609,632,164
  5. Step 5: Solve for x
    x = 207,609,632,164/294,329
  6. Step 6: Final answer
    x = 705,365.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.