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Finding the Third Proportional to 436,706 and 561,747

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Solution

The third proportional to 436,706 and 561,747 is: 722,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,706 : 561,747 = 561,747 : x
  2. Step 2: Convert to fraction form
    436,706/561,747 = 561,747/x
  3. Step 3: Cross multiply
    436,706x = 561,747 × 561,747
  4. Step 4: Simplify right side
    436,706x = 315,559,692,009
  5. Step 5: Solve for x
    x = 315,559,692,009/436,706
  6. Step 6: Final answer
    x = 722,590.69

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.