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Finding the Third Proportional to 229,239 and 497,863

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Solution

The third proportional to 229,239 and 497,863 is: 1,081,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,239 : 497,863 = 497,863 : x
  2. Step 2: Convert to fraction form
    229,239/497,863 = 497,863/x
  3. Step 3: Cross multiply
    229,239x = 497,863 × 497,863
  4. Step 4: Simplify right side
    229,239x = 247,867,566,769
  5. Step 5: Solve for x
    x = 247,867,566,769/229,239
  6. Step 6: Final answer
    x = 1,081,262.64

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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.