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Finding the Third Proportional to 762,385 and 1,016,367

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Solution

The third proportional to 762,385 and 1,016,367 is: 1,354,960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,385 : 1,016,367 = 1,016,367 : x
  2. Step 2: Convert to fraction form
    762,385/1,016,367 = 1,016,367/x
  3. Step 3: Cross multiply
    762,385x = 1,016,367 × 1,016,367
  4. Step 4: Simplify right side
    762,385x = 1,033,001,878,689
  5. Step 5: Solve for x
    x = 1,033,001,878,689/762,385
  6. Step 6: Final answer
    x = 1,354,960.92

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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.