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Finding the Third Proportional to 294,348 and 455,662

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Solution

The third proportional to 294,348 and 455,662 is: 705,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,348 : 455,662 = 455,662 : x
  2. Step 2: Convert to fraction form
    294,348/455,662 = 455,662/x
  3. Step 3: Cross multiply
    294,348x = 455,662 × 455,662
  4. Step 4: Simplify right side
    294,348x = 207,627,858,244
  5. Step 5: Solve for x
    x = 207,627,858,244/294,348
  6. Step 6: Final answer
    x = 705,382.26

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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.