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Finding the Third Proportional to 306,738 and 470,814

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Solution

The third proportional to 306,738 and 470,814 is: 722,655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,738 : 470,814 = 470,814 : x
  2. Step 2: Convert to fraction form
    306,738/470,814 = 470,814/x
  3. Step 3: Cross multiply
    306,738x = 470,814 × 470,814
  4. Step 4: Simplify right side
    306,738x = 221,665,822,596
  5. Step 5: Solve for x
    x = 221,665,822,596/306,738
  6. Step 6: Final answer
    x = 722,655.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.