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Finding the Third Proportional to 492,192 and 759,060

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Solution

The third proportional to 492,192 and 759,060 is: 1,170,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,192 : 759,060 = 759,060 : x
  2. Step 2: Convert to fraction form
    492,192/759,060 = 759,060/x
  3. Step 3: Cross multiply
    492,192x = 759,060 × 759,060
  4. Step 4: Simplify right side
    492,192x = 576,172,083,600
  5. Step 5: Solve for x
    x = 576,172,083,600/492,192
  6. Step 6: Final answer
    x = 1,170,624.64

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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.