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Finding the Third Proportional to 500,726.25 and 763,701.75

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Solution

The third proportional to 500,726.25 and 763,701.75 is: 1,164,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,726.25 : 763,701.75 = 763,701.75 : x
  2. Step 2: Convert to fraction form
    500,726.25/763,701.75 = 763,701.75/x
  3. Step 3: Cross multiply
    500,726.25x = 763,701.75 × 763,701.75
  4. Step 4: Simplify right side
    500,726.25x = 583,240,362,953.06
  5. Step 5: Solve for x
    x = 583,240,362,953.06/500,726.25
  6. Step 6: Final answer
    x = 1,164,788.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.