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Finding the Third Proportional to 763,343 and 1,036,696

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Solution

The third proportional to 763,343 and 1,036,696 is: 1,407,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,343 : 1,036,696 = 1,036,696 : x
  2. Step 2: Convert to fraction form
    763,343/1,036,696 = 1,036,696/x
  3. Step 3: Cross multiply
    763,343x = 1,036,696 × 1,036,696
  4. Step 4: Simplify right side
    763,343x = 1,074,738,596,416
  5. Step 5: Solve for x
    x = 1,074,738,596,416/763,343
  6. Step 6: Final answer
    x = 1,407,936.66

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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.