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Finding the Third Proportional to 432,904 and 589,740

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Solution

The third proportional to 432,904 and 589,740 is: 803,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,904 : 589,740 = 589,740 : x
  2. Step 2: Convert to fraction form
    432,904/589,740 = 589,740/x
  3. Step 3: Cross multiply
    432,904x = 589,740 × 589,740
  4. Step 4: Simplify right side
    432,904x = 347,793,267,600
  5. Step 5: Solve for x
    x = 347,793,267,600/432,904
  6. Step 6: Final answer
    x = 803,395.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.