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Finding the Third Proportional to 304,827 and 470,151

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Solution

The third proportional to 304,827 and 470,151 is: 725,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,827 : 470,151 = 470,151 : x
  2. Step 2: Convert to fraction form
    304,827/470,151 = 470,151/x
  3. Step 3: Cross multiply
    304,827x = 470,151 × 470,151
  4. Step 4: Simplify right side
    304,827x = 221,041,962,801
  5. Step 5: Solve for x
    x = 221,041,962,801/304,827
  6. Step 6: Final answer
    x = 725,139.06

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