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Finding the Third Proportional to 332,984 and 728,136

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Solution

The third proportional to 332,984 and 728,136 is: 1,592,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,984 : 728,136 = 728,136 : x
  2. Step 2: Convert to fraction form
    332,984/728,136 = 728,136/x
  3. Step 3: Cross multiply
    332,984x = 728,136 × 728,136
  4. Step 4: Simplify right side
    332,984x = 530,182,034,496
  5. Step 5: Solve for x
    x = 530,182,034,496/332,984
  6. Step 6: Final answer
    x = 1,592,214.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.