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Finding the Third Proportional to 508,648.50 and 769,533.75

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Solution

The third proportional to 508,648.50 and 769,533.75 is: 1,164,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,648.50 : 769,533.75 = 769,533.75 : x
  2. Step 2: Convert to fraction form
    508,648.50/769,533.75 = 769,533.75/x
  3. Step 3: Cross multiply
    508,648.50x = 769,533.75 × 769,533.75
  4. Step 4: Simplify right side
    508,648.50x = 592,182,192,389.06
  5. Step 5: Solve for x
    x = 592,182,192,389.06/508,648.50
  6. Step 6: Final answer
    x = 1,164,226.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.