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Finding the Third Proportional to 256,555.69 and 546,328.13

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Solution

The third proportional to 256,555.69 and 546,328.13 is: 1,163,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,555.69 : 546,328.13 = 546,328.13 : x
  2. Step 2: Convert to fraction form
    256,555.69/546,328.13 = 546,328.13/x
  3. Step 3: Cross multiply
    256,555.69x = 546,328.13 × 546,328.13
  4. Step 4: Simplify right side
    256,555.69x = 298,474,420,166.02
  5. Step 5: Solve for x
    x = 298,474,420,166.02/256,555.69
  6. Step 6: Final answer
    x = 1,163,390.39

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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.