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Finding the Third Proportional to 256,276.13 and 562,772.25

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Solution

The third proportional to 256,276.13 and 562,772.25 is: 1,235,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,276.13 : 562,772.25 = 562,772.25 : x
  2. Step 2: Convert to fraction form
    256,276.13/562,772.25 = 562,772.25/x
  3. Step 3: Cross multiply
    256,276.13x = 562,772.25 × 562,772.25
  4. Step 4: Simplify right side
    256,276.13x = 316,712,605,370.06
  5. Step 5: Solve for x
    x = 316,712,605,370.06/256,276.13
  6. Step 6: Final answer
    x = 1,235,825.64

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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.