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Finding the Third Proportional to 694,306 and 921,272

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Solution

The third proportional to 694,306 and 921,272 is: 1,222,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,306 : 921,272 = 921,272 : x
  2. Step 2: Convert to fraction form
    694,306/921,272 = 921,272/x
  3. Step 3: Cross multiply
    694,306x = 921,272 × 921,272
  4. Step 4: Simplify right side
    694,306x = 848,742,097,984
  5. Step 5: Solve for x
    x = 848,742,097,984/694,306
  6. Step 6: Final answer
    x = 1,222,432.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.