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Finding the Third Proportional to 304,732 and 456,810

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Solution

The third proportional to 304,732 and 456,810 is: 684,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,732 : 456,810 = 456,810 : x
  2. Step 2: Convert to fraction form
    304,732/456,810 = 456,810/x
  3. Step 3: Cross multiply
    304,732x = 456,810 × 456,810
  4. Step 4: Simplify right side
    304,732x = 208,675,376,100
  5. Step 5: Solve for x
    x = 208,675,376,100/304,732
  6. Step 6: Final answer
    x = 684,783.27

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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.