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Finding the Third Proportional to 241,308 and 530,001

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Solution

The third proportional to 241,308 and 530,001 is: 1,164,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,308 : 530,001 = 530,001 : x
  2. Step 2: Convert to fraction form
    241,308/530,001 = 530,001/x
  3. Step 3: Cross multiply
    241,308x = 530,001 × 530,001
  4. Step 4: Simplify right side
    241,308x = 280,901,060,001
  5. Step 5: Solve for x
    x = 280,901,060,001/241,308
  6. Step 6: Final answer
    x = 1,164,076.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.