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Finding the Third Proportional to 238,733 and 519,457

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Solution

The third proportional to 238,733 and 519,457 is: 1,130,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,733 : 519,457 = 519,457 : x
  2. Step 2: Convert to fraction form
    238,733/519,457 = 519,457/x
  3. Step 3: Cross multiply
    238,733x = 519,457 × 519,457
  4. Step 4: Simplify right side
    238,733x = 269,835,574,849
  5. Step 5: Solve for x
    x = 269,835,574,849/238,733
  6. Step 6: Final answer
    x = 1,130,281.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.