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Finding the Third Proportional to 257,606 and 561,032

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Solution

The third proportional to 257,606 and 561,032 is: 1,221,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,606 : 561,032 = 561,032 : x
  2. Step 2: Convert to fraction form
    257,606/561,032 = 561,032/x
  3. Step 3: Cross multiply
    257,606x = 561,032 × 561,032
  4. Step 4: Simplify right side
    257,606x = 314,756,905,024
  5. Step 5: Solve for x
    x = 314,756,905,024/257,606
  6. Step 6: Final answer
    x = 1,221,853.94

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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.