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Finding the Third Proportional to 244,328 and 530,434

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Solution

The third proportional to 244,328 and 530,434 is: 1,151,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,328 : 530,434 = 530,434 : x
  2. Step 2: Convert to fraction form
    244,328/530,434 = 530,434/x
  3. Step 3: Cross multiply
    244,328x = 530,434 × 530,434
  4. Step 4: Simplify right side
    244,328x = 281,360,228,356
  5. Step 5: Solve for x
    x = 281,360,228,356/244,328
  6. Step 6: Final answer
    x = 1,151,567.68

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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.