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Finding the Third Proportional to 304,056 and 471,960

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Solution

The third proportional to 304,056 and 471,960 is: 732,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,056 : 471,960 = 471,960 : x
  2. Step 2: Convert to fraction form
    304,056/471,960 = 471,960/x
  3. Step 3: Cross multiply
    304,056x = 471,960 × 471,960
  4. Step 4: Simplify right side
    304,056x = 222,746,241,600
  5. Step 5: Solve for x
    x = 222,746,241,600/304,056
  6. Step 6: Final answer
    x = 732,582.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.