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Finding the Third Proportional to 263,034 and 575,154

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Solution

The third proportional to 263,034 and 575,154 is: 1,257,640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,034 : 575,154 = 575,154 : x
  2. Step 2: Convert to fraction form
    263,034/575,154 = 575,154/x
  3. Step 3: Cross multiply
    263,034x = 575,154 × 575,154
  4. Step 4: Simplify right side
    263,034x = 330,802,123,716
  5. Step 5: Solve for x
    x = 330,802,123,716/263,034
  6. Step 6: Final answer
    x = 1,257,640.17

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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.