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Finding the Third Proportional to 261,806.63 and 405,345.38

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Solution

The third proportional to 261,806.63 and 405,345.38 is: 627,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,806.63 : 405,345.38 = 405,345.38 : x
  2. Step 2: Convert to fraction form
    261,806.63/405,345.38 = 405,345.38/x
  3. Step 3: Cross multiply
    261,806.63x = 405,345.38 × 405,345.38
  4. Step 4: Simplify right side
    261,806.63x = 164,304,873,033.89
  5. Step 5: Solve for x
    x = 164,304,873,033.89/261,806.63
  6. Step 6: Final answer
    x = 627,581.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.