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Finding the Third Proportional to 506,451.75 and 772,539.75

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Solution

The third proportional to 506,451.75 and 772,539.75 is: 1,178,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,451.75 : 772,539.75 = 772,539.75 : x
  2. Step 2: Convert to fraction form
    506,451.75/772,539.75 = 772,539.75/x
  3. Step 3: Cross multiply
    506,451.75x = 772,539.75 × 772,539.75
  4. Step 4: Simplify right side
    506,451.75x = 596,817,665,330.06
  5. Step 5: Solve for x
    x = 596,817,665,330.06/506,451.75
  6. Step 6: Final answer
    x = 1,178,429.47

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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.