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Finding the Third Proportional to 492,407.25 and 743,714.25

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Solution

The third proportional to 492,407.25 and 743,714.25 is: 1,123,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,407.25 : 743,714.25 = 743,714.25 : x
  2. Step 2: Convert to fraction form
    492,407.25/743,714.25 = 743,714.25/x
  3. Step 3: Cross multiply
    492,407.25x = 743,714.25 × 743,714.25
  4. Step 4: Simplify right side
    492,407.25x = 553,110,885,653.06
  5. Step 5: Solve for x
    x = 553,110,885,653.06/492,407.25
  6. Step 6: Final answer
    x = 1,123,279.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.