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Finding the Third Proportional to 234,196 and 513,911

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Solution

The third proportional to 234,196 and 513,911 is: 1,127,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,196 : 513,911 = 513,911 : x
  2. Step 2: Convert to fraction form
    234,196/513,911 = 513,911/x
  3. Step 3: Cross multiply
    234,196x = 513,911 × 513,911
  4. Step 4: Simplify right side
    234,196x = 264,104,515,921
  5. Step 5: Solve for x
    x = 264,104,515,921/234,196
  6. Step 6: Final answer
    x = 1,127,707.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.