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Finding the Third Proportional to 350,894 and 743,645

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Solution

The third proportional to 350,894 and 743,645 is: 1,575,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,894 : 743,645 = 743,645 : x
  2. Step 2: Convert to fraction form
    350,894/743,645 = 743,645/x
  3. Step 3: Cross multiply
    350,894x = 743,645 × 743,645
  4. Step 4: Simplify right side
    350,894x = 553,007,886,025
  5. Step 5: Solve for x
    x = 553,007,886,025/350,894
  6. Step 6: Final answer
    x = 1,575,996.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.