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Finding the Third Proportional to 312,925 and 470,846

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Solution

The third proportional to 312,925 and 470,846 is: 708,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,925 : 470,846 = 470,846 : x
  2. Step 2: Convert to fraction form
    312,925/470,846 = 470,846/x
  3. Step 3: Cross multiply
    312,925x = 470,846 × 470,846
  4. Step 4: Simplify right side
    312,925x = 221,695,955,716
  5. Step 5: Solve for x
    x = 221,695,955,716/312,925
  6. Step 6: Final answer
    x = 708,463.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.