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Finding the Third Proportional to 289,740 and 461,034

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Solution

The third proportional to 289,740 and 461,034 is: 733,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,740 : 461,034 = 461,034 : x
  2. Step 2: Convert to fraction form
    289,740/461,034 = 461,034/x
  3. Step 3: Cross multiply
    289,740x = 461,034 × 461,034
  4. Step 4: Simplify right side
    289,740x = 212,552,349,156
  5. Step 5: Solve for x
    x = 212,552,349,156/289,740
  6. Step 6: Final answer
    x = 733,596.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.