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Finding the Third Proportional to 235,132 and 514,004

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Solution

The third proportional to 235,132 and 514,004 is: 1,123,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,132 : 514,004 = 514,004 : x
  2. Step 2: Convert to fraction form
    235,132/514,004 = 514,004/x
  3. Step 3: Cross multiply
    235,132x = 514,004 × 514,004
  4. Step 4: Simplify right side
    235,132x = 264,200,112,016
  5. Step 5: Solve for x
    x = 264,200,112,016/235,132
  6. Step 6: Final answer
    x = 1,123,624.65

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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.