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Finding the Third Proportional to 504,710.05 and 775,774.18

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Solution

The third proportional to 504,710.05 and 775,774.18 is: 1,192,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,710.05 : 775,774.18 = 775,774.18 : x
  2. Step 2: Convert to fraction form
    504,710.05/775,774.18 = 775,774.18/x
  3. Step 3: Cross multiply
    504,710.05x = 775,774.18 × 775,774.18
  4. Step 4: Simplify right side
    504,710.05x = 601,825,574,839.45
  5. Step 5: Solve for x
    x = 601,825,574,839.45/504,710.05
  6. Step 6: Final answer
    x = 1,192,418.45

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