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Finding the Third Proportional to 304,816 and 457,208

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Solution

The third proportional to 304,816 and 457,208 is: 685,788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,816 : 457,208 = 457,208 : x
  2. Step 2: Convert to fraction form
    304,816/457,208 = 457,208/x
  3. Step 3: Cross multiply
    304,816x = 457,208 × 457,208
  4. Step 4: Simplify right side
    304,816x = 209,039,155,264
  5. Step 5: Solve for x
    x = 209,039,155,264/304,816
  6. Step 6: Final answer
    x = 685,788.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.