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Finding the Third Proportional to 229,862.25 and 487,370.25

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Solution

The third proportional to 229,862.25 and 487,370.25 is: 1,033,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,862.25 : 487,370.25 = 487,370.25 : x
  2. Step 2: Convert to fraction form
    229,862.25/487,370.25 = 487,370.25/x
  3. Step 3: Cross multiply
    229,862.25x = 487,370.25 × 487,370.25
  4. Step 4: Simplify right side
    229,862.25x = 237,529,760,585.06
  5. Step 5: Solve for x
    x = 237,529,760,585.06/229,862.25
  6. Step 6: Final answer
    x = 1,033,356.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.