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Finding the Third Proportional to 241,364 and 530,007

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Solution

The third proportional to 241,364 and 530,007 is: 1,163,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,364 : 530,007 = 530,007 : x
  2. Step 2: Convert to fraction form
    241,364/530,007 = 530,007/x
  3. Step 3: Cross multiply
    241,364x = 530,007 × 530,007
  4. Step 4: Simplify right side
    241,364x = 280,907,420,049
  5. Step 5: Solve for x
    x = 280,907,420,049/241,364
  6. Step 6: Final answer
    x = 1,163,833.13

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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.