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Finding the Third Proportional to 306,324 and 470,726

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Solution

The third proportional to 306,324 and 470,726 is: 723,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,324 : 470,726 = 470,726 : x
  2. Step 2: Convert to fraction form
    306,324/470,726 = 470,726/x
  3. Step 3: Cross multiply
    306,324x = 470,726 × 470,726
  4. Step 4: Simplify right side
    306,324x = 221,582,967,076
  5. Step 5: Solve for x
    x = 221,582,967,076/306,324
  6. Step 6: Final answer
    x = 723,361.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.