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Finding the Third Proportional to 313,464 and 470,892

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Solution

The third proportional to 313,464 and 470,892 is: 707,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,464 : 470,892 = 470,892 : x
  2. Step 2: Convert to fraction form
    313,464/470,892 = 470,892/x
  3. Step 3: Cross multiply
    313,464x = 470,892 × 470,892
  4. Step 4: Simplify right side
    313,464x = 221,739,275,664
  5. Step 5: Solve for x
    x = 221,739,275,664/313,464
  6. Step 6: Final answer
    x = 707,383.55

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Why These Related Problems?

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