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Finding the Third Proportional to 505,728.56 and 711,397.69

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Solution

The third proportional to 505,728.56 and 711,397.69 is: 1,000,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,728.56 : 711,397.69 = 711,397.69 : x
  2. Step 2: Convert to fraction form
    505,728.56/711,397.69 = 711,397.69/x
  3. Step 3: Cross multiply
    505,728.56x = 711,397.69 × 711,397.69
  4. Step 4: Simplify right side
    505,728.56x = 506,086,669,780.35
  5. Step 5: Solve for x
    x = 506,086,669,780.35/505,728.56
  6. Step 6: Final answer
    x = 1,000,708.10

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.