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Finding the Third Proportional to 304,540 and 484,970

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Solution

The third proportional to 304,540 and 484,970 is: 772,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,540 : 484,970 = 484,970 : x
  2. Step 2: Convert to fraction form
    304,540/484,970 = 484,970/x
  3. Step 3: Cross multiply
    304,540x = 484,970 × 484,970
  4. Step 4: Simplify right side
    304,540x = 235,195,900,900
  5. Step 5: Solve for x
    x = 235,195,900,900/304,540
  6. Step 6: Final answer
    x = 772,298.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.