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Finding the Third Proportional to 263,952.11 and 407,038.29

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Solution

The third proportional to 263,952.11 and 407,038.29 is: 627,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,952.11 : 407,038.29 = 407,038.29 : x
  2. Step 2: Convert to fraction form
    263,952.11/407,038.29 = 407,038.29/x
  3. Step 3: Cross multiply
    263,952.11x = 407,038.29 × 407,038.29
  4. Step 4: Simplify right side
    263,952.11x = 165,680,168,762.93
  5. Step 5: Solve for x
    x = 165,680,168,762.93/263,952.11
  6. Step 6: Final answer
    x = 627,690.27

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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.