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Finding the Third Proportional to 312,084 and 470,886

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Solution

The third proportional to 312,084 and 470,886 is: 710,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,084 : 470,886 = 470,886 : x
  2. Step 2: Convert to fraction form
    312,084/470,886 = 470,886/x
  3. Step 3: Cross multiply
    312,084x = 470,886 × 470,886
  4. Step 4: Simplify right side
    312,084x = 221,733,624,996
  5. Step 5: Solve for x
    x = 221,733,624,996/312,084
  6. Step 6: Final answer
    x = 710,493.41

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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.