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Finding the Third Proportional to 312,114 and 470,927

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Solution

The third proportional to 312,114 and 470,927 is: 710,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,114 : 470,927 = 470,927 : x
  2. Step 2: Convert to fraction form
    312,114/470,927 = 470,927/x
  3. Step 3: Cross multiply
    312,114x = 470,927 × 470,927
  4. Step 4: Simplify right side
    312,114x = 221,772,239,329
  5. Step 5: Solve for x
    x = 221,772,239,329/312,114
  6. Step 6: Final answer
    x = 710,548.84

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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.