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Finding the Third Proportional to 465,579.25 and 711,906

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Solution

The third proportional to 465,579.25 and 711,906 is: 1,088,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,579.25 : 711,906 = 711,906 : x
  2. Step 2: Convert to fraction form
    465,579.25/711,906 = 711,906/x
  3. Step 3: Cross multiply
    465,579.25x = 711,906 × 711,906
  4. Step 4: Simplify right side
    465,579.25x = 506,810,152,836
  5. Step 5: Solve for x
    x = 506,810,152,836/465,579.25
  6. Step 6: Final answer
    x = 1,088,558.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.