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Finding the Third Proportional to 492,182 and 759,045

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Solution

The third proportional to 492,182 and 759,045 is: 1,170,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,182 : 759,045 = 759,045 : x
  2. Step 2: Convert to fraction form
    492,182/759,045 = 759,045/x
  3. Step 3: Cross multiply
    492,182x = 759,045 × 759,045
  4. Step 4: Simplify right side
    492,182x = 576,149,312,025
  5. Step 5: Solve for x
    x = 576,149,312,025/492,182
  6. Step 6: Final answer
    x = 1,170,602.16

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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.