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Finding the Third Proportional to 265,320.63 and 408,304.22

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Solution

The third proportional to 265,320.63 and 408,304.22 is: 628,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,320.63 : 408,304.22 = 408,304.22 : x
  2. Step 2: Convert to fraction form
    265,320.63/408,304.22 = 408,304.22/x
  3. Step 3: Cross multiply
    265,320.63x = 408,304.22 × 408,304.22
  4. Step 4: Simplify right side
    265,320.63x = 166,712,335,049.05
  5. Step 5: Solve for x
    x = 166,712,335,049.05/265,320.63
  6. Step 6: Final answer
    x = 628,342.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.