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Finding the Third Proportional to 267,293.06 and 553,532.63

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Solution

The third proportional to 267,293.06 and 553,532.63 is: 1,146,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,293.06 : 553,532.63 = 553,532.63 : x
  2. Step 2: Convert to fraction form
    267,293.06/553,532.63 = 553,532.63/x
  3. Step 3: Cross multiply
    267,293.06x = 553,532.63 × 553,532.63
  4. Step 4: Simplify right side
    267,293.06x = 306,398,366,939.39
  5. Step 5: Solve for x
    x = 306,398,366,939.39/267,293.06
  6. Step 6: Final answer
    x = 1,146,301.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.