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Finding the Third Proportional to 474,696 and 732,984

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Solution

The third proportional to 474,696 and 732,984 is: 1,131,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,696 : 732,984 = 732,984 : x
  2. Step 2: Convert to fraction form
    474,696/732,984 = 732,984/x
  3. Step 3: Cross multiply
    474,696x = 732,984 × 732,984
  4. Step 4: Simplify right side
    474,696x = 537,265,544,256
  5. Step 5: Solve for x
    x = 537,265,544,256/474,696
  6. Step 6: Final answer
    x = 1,131,809.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.