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Finding the Third Proportional to 236,669 and 516,706

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Solution

The third proportional to 236,669 and 516,706 is: 1,128,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,669 : 516,706 = 516,706 : x
  2. Step 2: Convert to fraction form
    236,669/516,706 = 516,706/x
  3. Step 3: Cross multiply
    236,669x = 516,706 × 516,706
  4. Step 4: Simplify right side
    236,669x = 266,985,090,436
  5. Step 5: Solve for x
    x = 266,985,090,436/236,669
  6. Step 6: Final answer
    x = 1,128,094.89

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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.