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Finding the Third Proportional to 237,213 and 516,543

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Solution

The third proportional to 237,213 and 516,543 is: 1,124,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,213 : 516,543 = 516,543 : x
  2. Step 2: Convert to fraction form
    237,213/516,543 = 516,543/x
  3. Step 3: Cross multiply
    237,213x = 516,543 × 516,543
  4. Step 4: Simplify right side
    237,213x = 266,816,670,849
  5. Step 5: Solve for x
    x = 266,816,670,849/237,213
  6. Step 6: Final answer
    x = 1,124,797.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.