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Finding the Third Proportional to 492,282 and 703,956

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Solution

The third proportional to 492,282 and 703,956 is: 1,006,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,282 : 703,956 = 703,956 : x
  2. Step 2: Convert to fraction form
    492,282/703,956 = 703,956/x
  3. Step 3: Cross multiply
    492,282x = 703,956 × 703,956
  4. Step 4: Simplify right side
    492,282x = 495,554,049,936
  5. Step 5: Solve for x
    x = 495,554,049,936/492,282
  6. Step 6: Final answer
    x = 1,006,646.70

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.