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Finding the Third Proportional to 235,968 and 513,402

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Solution

The third proportional to 235,968 and 513,402 is: 1,117,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,968 : 513,402 = 513,402 : x
  2. Step 2: Convert to fraction form
    235,968/513,402 = 513,402/x
  3. Step 3: Cross multiply
    235,968x = 513,402 × 513,402
  4. Step 4: Simplify right side
    235,968x = 263,581,613,604
  5. Step 5: Solve for x
    x = 263,581,613,604/235,968
  6. Step 6: Final answer
    x = 1,117,022.70

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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.