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Finding the Third Proportional to 482,787.94 and 730,394.44

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Solution

The third proportional to 482,787.94 and 730,394.44 is: 1,104,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,787.94 : 730,394.44 = 730,394.44 : x
  2. Step 2: Convert to fraction form
    482,787.94/730,394.44 = 730,394.44/x
  3. Step 3: Cross multiply
    482,787.94x = 730,394.44 × 730,394.44
  4. Step 4: Simplify right side
    482,787.94x = 533,476,034,330.94
  5. Step 5: Solve for x
    x = 533,476,034,330.94/482,787.94
  6. Step 6: Final answer
    x = 1,104,990.40

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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.