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Finding the Third Proportional to 492,240 and 759,136

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Solution

The third proportional to 492,240 and 759,136 is: 1,170,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,240 : 759,136 = 759,136 : x
  2. Step 2: Convert to fraction form
    492,240/759,136 = 759,136/x
  3. Step 3: Cross multiply
    492,240x = 759,136 × 759,136
  4. Step 4: Simplify right side
    492,240x = 576,287,466,496
  5. Step 5: Solve for x
    x = 576,287,466,496/492,240
  6. Step 6: Final answer
    x = 1,170,744.89

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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.