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Finding the Third Proportional to 506,459.25 and 1,080,708.75

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Solution

The third proportional to 506,459.25 and 1,080,708.75 is: 2,306,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,459.25 : 1,080,708.75 = 1,080,708.75 : x
  2. Step 2: Convert to fraction form
    506,459.25/1,080,708.75 = 1,080,708.75/x
  3. Step 3: Cross multiply
    506,459.25x = 1,080,708.75 × 1,080,708.75
  4. Step 4: Simplify right side
    506,459.25x = 1,167,931,402,326.56
  5. Step 5: Solve for x
    x = 1,167,931,402,326.56/506,459.25
  6. Step 6: Final answer
    x = 2,306,071.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.