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Finding the Third Proportional to 260,590 and 571,056

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Solution

The third proportional to 260,590 and 571,056 is: 1,251,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,590 : 571,056 = 571,056 : x
  2. Step 2: Convert to fraction form
    260,590/571,056 = 571,056/x
  3. Step 3: Cross multiply
    260,590x = 571,056 × 571,056
  4. Step 4: Simplify right side
    260,590x = 326,104,955,136
  5. Step 5: Solve for x
    x = 326,104,955,136/260,590
  6. Step 6: Final answer
    x = 1,251,410.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.