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Finding the Third Proportional to 292,356 and 629,829

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Solution

The third proportional to 292,356 and 629,829 is: 1,356,854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,356 : 629,829 = 629,829 : x
  2. Step 2: Convert to fraction form
    292,356/629,829 = 629,829/x
  3. Step 3: Cross multiply
    292,356x = 629,829 × 629,829
  4. Step 4: Simplify right side
    292,356x = 396,684,569,241
  5. Step 5: Solve for x
    x = 396,684,569,241/292,356
  6. Step 6: Final answer
    x = 1,356,854.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.