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Finding the Third Proportional to 312,112 and 470,924

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Solution

The third proportional to 312,112 and 470,924 is: 710,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,112 : 470,924 = 470,924 : x
  2. Step 2: Convert to fraction form
    312,112/470,924 = 470,924/x
  3. Step 3: Cross multiply
    312,112x = 470,924 × 470,924
  4. Step 4: Simplify right side
    312,112x = 221,769,413,776
  5. Step 5: Solve for x
    x = 221,769,413,776/312,112
  6. Step 6: Final answer
    x = 710,544.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.