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Finding the Third Proportional to 315,083.25 and 484,305.75

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Solution

The third proportional to 315,083.25 and 484,305.75 is: 744,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,083.25 : 484,305.75 = 484,305.75 : x
  2. Step 2: Convert to fraction form
    315,083.25/484,305.75 = 484,305.75/x
  3. Step 3: Cross multiply
    315,083.25x = 484,305.75 × 484,305.75
  4. Step 4: Simplify right side
    315,083.25x = 234,552,059,483.06
  5. Step 5: Solve for x
    x = 234,552,059,483.06/315,083.25
  6. Step 6: Final answer
    x = 744,412.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.