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Finding the Third Proportional to 229,205 and 497,855

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Solution

The third proportional to 229,205 and 497,855 is: 1,081,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,205 : 497,855 = 497,855 : x
  2. Step 2: Convert to fraction form
    229,205/497,855 = 497,855/x
  3. Step 3: Cross multiply
    229,205x = 497,855 × 497,855
  4. Step 4: Simplify right side
    229,205x = 247,859,601,025
  5. Step 5: Solve for x
    x = 247,859,601,025/229,205
  6. Step 6: Final answer
    x = 1,081,388.28

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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.