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Finding the Third Proportional to 244,326 and 530,430

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Solution

The third proportional to 244,326 and 530,430 is: 1,151,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,326 : 530,430 = 530,430 : x
  2. Step 2: Convert to fraction form
    244,326/530,430 = 530,430/x
  3. Step 3: Cross multiply
    244,326x = 530,430 × 530,430
  4. Step 4: Simplify right side
    244,326x = 281,355,984,900
  5. Step 5: Solve for x
    x = 281,355,984,900/244,326
  6. Step 6: Final answer
    x = 1,151,559.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.