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Finding the Third Proportional to 366,927.15 and 743,712.89

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Solution

The third proportional to 366,927.15 and 743,712.89 is: 1,507,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,927.15 : 743,712.89 = 743,712.89 : x
  2. Step 2: Convert to fraction form
    366,927.15/743,712.89 = 743,712.89/x
  3. Step 3: Cross multiply
    366,927.15x = 743,712.89 × 743,712.89
  4. Step 4: Simplify right side
    366,927.15x = 553,108,863,681.79
  5. Step 5: Solve for x
    x = 553,108,863,681.79/366,927.15
  6. Step 6: Final answer
    x = 1,507,407.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.