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Finding the Third Proportional to 332,669 and 785,988

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Solution

The third proportional to 332,669 and 785,988 is: 1,857,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,669 : 785,988 = 785,988 : x
  2. Step 2: Convert to fraction form
    332,669/785,988 = 785,988/x
  3. Step 3: Cross multiply
    332,669x = 785,988 × 785,988
  4. Step 4: Simplify right side
    332,669x = 617,777,136,144
  5. Step 5: Solve for x
    x = 617,777,136,144/332,669
  6. Step 6: Final answer
    x = 1,857,032.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.