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Finding the Third Proportional to 432,164 and 683,763

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Solution

The third proportional to 432,164 and 683,763 is: 1,081,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,164 : 683,763 = 683,763 : x
  2. Step 2: Convert to fraction form
    432,164/683,763 = 683,763/x
  3. Step 3: Cross multiply
    432,164x = 683,763 × 683,763
  4. Step 4: Simplify right side
    432,164x = 467,531,840,169
  5. Step 5: Solve for x
    x = 467,531,840,169/432,164
  6. Step 6: Final answer
    x = 1,081,838.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.