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Finding the Third Proportional to 254,587 and 560,002

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Solution

The third proportional to 254,587 and 560,002 is: 1,231,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,587 : 560,002 = 560,002 : x
  2. Step 2: Convert to fraction form
    254,587/560,002 = 560,002/x
  3. Step 3: Cross multiply
    254,587x = 560,002 × 560,002
  4. Step 4: Simplify right side
    254,587x = 313,602,240,004
  5. Step 5: Solve for x
    x = 313,602,240,004/254,587
  6. Step 6: Final answer
    x = 1,231,807.75

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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.