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Finding the Third Proportional to 242,736 and 516,090

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Solution

The third proportional to 242,736 and 516,090 is: 1,097,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,736 : 516,090 = 516,090 : x
  2. Step 2: Convert to fraction form
    242,736/516,090 = 516,090/x
  3. Step 3: Cross multiply
    242,736x = 516,090 × 516,090
  4. Step 4: Simplify right side
    242,736x = 266,348,888,100
  5. Step 5: Solve for x
    x = 266,348,888,100/242,736
  6. Step 6: Final answer
    x = 1,097,278.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.