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Finding the Third Proportional to 321,752 and 686,224

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Solution

The third proportional to 321,752 and 686,224 is: 1,463,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,752 : 686,224 = 686,224 : x
  2. Step 2: Convert to fraction form
    321,752/686,224 = 686,224/x
  3. Step 3: Cross multiply
    321,752x = 686,224 × 686,224
  4. Step 4: Simplify right side
    321,752x = 470,903,378,176
  5. Step 5: Solve for x
    x = 470,903,378,176/321,752
  6. Step 6: Final answer
    x = 1,463,560.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.