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Finding the Third Proportional to 269,911 and 573,032

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Solution

The third proportional to 269,911 and 573,032 is: 1,216,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,911 : 573,032 = 573,032 : x
  2. Step 2: Convert to fraction form
    269,911/573,032 = 573,032/x
  3. Step 3: Cross multiply
    269,911x = 573,032 × 573,032
  4. Step 4: Simplify right side
    269,911x = 328,365,673,024
  5. Step 5: Solve for x
    x = 328,365,673,024/269,911
  6. Step 6: Final answer
    x = 1,216,570.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.