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Finding the Third Proportional to 492,200 and 724,476

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Solution

The third proportional to 492,200 and 724,476 is: 1,066,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,200 : 724,476 = 724,476 : x
  2. Step 2: Convert to fraction form
    492,200/724,476 = 724,476/x
  3. Step 3: Cross multiply
    492,200x = 724,476 × 724,476
  4. Step 4: Simplify right side
    492,200x = 524,865,474,576
  5. Step 5: Solve for x
    x = 524,865,474,576/492,200
  6. Step 6: Final answer
    x = 1,066,366.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.