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Finding the Third Proportional to 237,036 and 516,678

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Solution

The third proportional to 237,036 and 516,678 is: 1,126,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,036 : 516,678 = 516,678 : x
  2. Step 2: Convert to fraction form
    237,036/516,678 = 516,678/x
  3. Step 3: Cross multiply
    237,036x = 516,678 × 516,678
  4. Step 4: Simplify right side
    237,036x = 266,956,155,684
  5. Step 5: Solve for x
    x = 266,956,155,684/237,036
  6. Step 6: Final answer
    x = 1,126,226.21

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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.