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Finding the Third Proportional to 257,160 and 573,936

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Solution

The third proportional to 257,160 and 573,936 is: 1,280,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,160 : 573,936 = 573,936 : x
  2. Step 2: Convert to fraction form
    257,160/573,936 = 573,936/x
  3. Step 3: Cross multiply
    257,160x = 573,936 × 573,936
  4. Step 4: Simplify right side
    257,160x = 329,402,532,096
  5. Step 5: Solve for x
    x = 329,402,532,096/257,160
  6. Step 6: Final answer
    x = 1,280,924.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.