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Finding the Third Proportional to 505,592.51 and 711,151.52

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Solution

The third proportional to 505,592.51 and 711,151.52 is: 1,000,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,592.51 : 711,151.52 = 711,151.52 : x
  2. Step 2: Convert to fraction form
    505,592.51/711,151.52 = 711,151.52/x
  3. Step 3: Cross multiply
    505,592.51x = 711,151.52 × 711,151.52
  4. Step 4: Simplify right side
    505,592.51x = 505,736,489,287.48
  5. Step 5: Solve for x
    x = 505,736,489,287.48/505,592.51
  6. Step 6: Final answer
    x = 1,000,284.78

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Why These Related Problems?

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