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Finding the Third Proportional to 432,912 and 589,752

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Solution

The third proportional to 432,912 and 589,752 is: 803,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,912 : 589,752 = 589,752 : x
  2. Step 2: Convert to fraction form
    432,912/589,752 = 589,752/x
  3. Step 3: Cross multiply
    432,912x = 589,752 × 589,752
  4. Step 4: Simplify right side
    432,912x = 347,807,421,504
  5. Step 5: Solve for x
    x = 347,807,421,504/432,912
  6. Step 6: Final answer
    x = 803,413.68

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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.