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Finding the Third Proportional to 241,388 and 530,323

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Solution

The third proportional to 241,388 and 530,323 is: 1,165,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,388 : 530,323 = 530,323 : x
  2. Step 2: Convert to fraction form
    241,388/530,323 = 530,323/x
  3. Step 3: Cross multiply
    241,388x = 530,323 × 530,323
  4. Step 4: Simplify right side
    241,388x = 281,242,484,329
  5. Step 5: Solve for x
    x = 281,242,484,329/241,388
  6. Step 6: Final answer
    x = 1,165,105.49

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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.