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Finding the Third Proportional to 304,734 and 456,813

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Solution

The third proportional to 304,734 and 456,813 is: 684,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,734 : 456,813 = 456,813 : x
  2. Step 2: Convert to fraction form
    304,734/456,813 = 456,813/x
  3. Step 3: Cross multiply
    304,734x = 456,813 × 456,813
  4. Step 4: Simplify right side
    304,734x = 208,678,116,969
  5. Step 5: Solve for x
    x = 208,678,116,969/304,734
  6. Step 6: Final answer
    x = 684,787.77

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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.