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Finding the Third Proportional to 419,197 and 592,588

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Solution

The third proportional to 419,197 and 592,588 is: 837,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,197 : 592,588 = 592,588 : x
  2. Step 2: Convert to fraction form
    419,197/592,588 = 592,588/x
  3. Step 3: Cross multiply
    419,197x = 592,588 × 592,588
  4. Step 4: Simplify right side
    419,197x = 351,160,537,744
  5. Step 5: Solve for x
    x = 351,160,537,744/419,197
  6. Step 6: Final answer
    x = 837,698.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.