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Finding the Third Proportional to 254,628 and 560,101

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Solution

The third proportional to 254,628 and 560,101 is: 1,232,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,628 : 560,101 = 560,101 : x
  2. Step 2: Convert to fraction form
    254,628/560,101 = 560,101/x
  3. Step 3: Cross multiply
    254,628x = 560,101 × 560,101
  4. Step 4: Simplify right side
    254,628x = 313,713,130,201
  5. Step 5: Solve for x
    x = 313,713,130,201/254,628
  6. Step 6: Final answer
    x = 1,232,044.91

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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.