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Finding the Third Proportional to 234,306 and 513,054

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Solution

The third proportional to 234,306 and 513,054 is: 1,123,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,306 : 513,054 = 513,054 : x
  2. Step 2: Convert to fraction form
    234,306/513,054 = 513,054/x
  3. Step 3: Cross multiply
    234,306x = 513,054 × 513,054
  4. Step 4: Simplify right side
    234,306x = 263,224,406,916
  5. Step 5: Solve for x
    x = 263,224,406,916/234,306
  6. Step 6: Final answer
    x = 1,123,421.54

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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.