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Finding the Third Proportional to 492,149 and 703,773

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Solution

The third proportional to 492,149 and 703,773 is: 1,006,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,149 : 703,773 = 703,773 : x
  2. Step 2: Convert to fraction form
    492,149/703,773 = 703,773/x
  3. Step 3: Cross multiply
    492,149x = 703,773 × 703,773
  4. Step 4: Simplify right side
    492,149x = 495,296,435,529
  5. Step 5: Solve for x
    x = 495,296,435,529/492,149
  6. Step 6: Final answer
    x = 1,006,395.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.