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Finding the Third Proportional to 229,257.56 and 497,934.56

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Solution

The third proportional to 229,257.56 and 497,934.56 is: 1,081,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,257.56 : 497,934.56 = 497,934.56 : x
  2. Step 2: Convert to fraction form
    229,257.56/497,934.56 = 497,934.56/x
  3. Step 3: Cross multiply
    229,257.56x = 497,934.56 × 497,934.56
  4. Step 4: Simplify right side
    229,257.56x = 247,938,828,532.07
  5. Step 5: Solve for x
    x = 247,938,828,532.07/229,257.56
  6. Step 6: Final answer
    x = 1,081,485.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.