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Finding the Third Proportional to 762,476.63 and 1,016,519.63

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Solution

The third proportional to 762,476.63 and 1,016,519.63 is: 1,355,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,476.63 : 1,016,519.63 = 1,016,519.63 : x
  2. Step 2: Convert to fraction form
    762,476.63/1,016,519.63 = 1,016,519.63/x
  3. Step 3: Cross multiply
    762,476.63x = 1,016,519.63 × 1,016,519.63
  4. Step 4: Simplify right side
    762,476.63x = 1,033,312,148,010.14
  5. Step 5: Solve for x
    x = 1,033,312,148,010.14/762,476.63
  6. Step 6: Final answer
    x = 1,355,205.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.