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Finding the Third Proportional to 504,608 and 596,768

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Solution

The third proportional to 504,608 and 596,768 is: 705,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,608 : 596,768 = 596,768 : x
  2. Step 2: Convert to fraction form
    504,608/596,768 = 596,768/x
  3. Step 3: Cross multiply
    504,608x = 596,768 × 596,768
  4. Step 4: Simplify right side
    504,608x = 356,132,045,824
  5. Step 5: Solve for x
    x = 356,132,045,824/504,608
  6. Step 6: Final answer
    x = 705,759.81

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.