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Finding the Third Proportional to 217,959 and 470,343

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Solution

The third proportional to 217,959 and 470,343 is: 1,014,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,959 : 470,343 = 470,343 : x
  2. Step 2: Convert to fraction form
    217,959/470,343 = 470,343/x
  3. Step 3: Cross multiply
    217,959x = 470,343 × 470,343
  4. Step 4: Simplify right side
    217,959x = 221,222,537,649
  5. Step 5: Solve for x
    x = 221,222,537,649/217,959
  6. Step 6: Final answer
    x = 1,014,973.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.