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Finding the Third Proportional to 304,428 and 482,025

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Solution

The third proportional to 304,428 and 482,025 is: 763,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,428 : 482,025 = 482,025 : x
  2. Step 2: Convert to fraction form
    304,428/482,025 = 482,025/x
  3. Step 3: Cross multiply
    304,428x = 482,025 × 482,025
  4. Step 4: Simplify right side
    304,428x = 232,348,100,625
  5. Step 5: Solve for x
    x = 232,348,100,625/304,428
  6. Step 6: Final answer
    x = 763,228.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.