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Finding the Third Proportional to 281,810 and 573,459

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Solution

The third proportional to 281,810 and 573,459 is: 1,166,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,810 : 573,459 = 573,459 : x
  2. Step 2: Convert to fraction form
    281,810/573,459 = 573,459/x
  3. Step 3: Cross multiply
    281,810x = 573,459 × 573,459
  4. Step 4: Simplify right side
    281,810x = 328,855,224,681
  5. Step 5: Solve for x
    x = 328,855,224,681/281,810
  6. Step 6: Final answer
    x = 1,166,939.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.