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Finding the Third Proportional to 256,551.75 and 546,322.50

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Solution

The third proportional to 256,551.75 and 546,322.50 is: 1,163,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,551.75 : 546,322.50 = 546,322.50 : x
  2. Step 2: Convert to fraction form
    256,551.75/546,322.50 = 546,322.50/x
  3. Step 3: Cross multiply
    256,551.75x = 546,322.50 × 546,322.50
  4. Step 4: Simplify right side
    256,551.75x = 298,468,274,006.25
  5. Step 5: Solve for x
    x = 298,468,274,006.25/256,551.75
  6. Step 6: Final answer
    x = 1,163,384.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.