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Finding the Third Proportional to 254,376 and 559,600

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Solution

The third proportional to 254,376 and 559,600 is: 1,231,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,376 : 559,600 = 559,600 : x
  2. Step 2: Convert to fraction form
    254,376/559,600 = 559,600/x
  3. Step 3: Cross multiply
    254,376x = 559,600 × 559,600
  4. Step 4: Simplify right side
    254,376x = 313,152,160,000
  5. Step 5: Solve for x
    x = 313,152,160,000/254,376
  6. Step 6: Final answer
    x = 1,231,060.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.