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Finding the Third Proportional to 244,649 and 530,011

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Solution

The third proportional to 244,649 and 530,011 is: 1,148,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,649 : 530,011 = 530,011 : x
  2. Step 2: Convert to fraction form
    244,649/530,011 = 530,011/x
  3. Step 3: Cross multiply
    244,649x = 530,011 × 530,011
  4. Step 4: Simplify right side
    244,649x = 280,911,660,121
  5. Step 5: Solve for x
    x = 280,911,660,121/244,649
  6. Step 6: Final answer
    x = 1,148,223.21

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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.