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Finding the Third Proportional to 492,228 and 759,342

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Solution

The third proportional to 492,228 and 759,342 is: 1,171,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,228 : 759,342 = 759,342 : x
  2. Step 2: Convert to fraction form
    492,228/759,342 = 759,342/x
  3. Step 3: Cross multiply
    492,228x = 759,342 × 759,342
  4. Step 4: Simplify right side
    492,228x = 576,600,272,964
  5. Step 5: Solve for x
    x = 576,600,272,964/492,228
  6. Step 6: Final answer
    x = 1,171,408.93

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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.