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Finding the Third Proportional to 492,714 and 686,475

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Solution

The third proportional to 492,714 and 686,475 is: 956,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,714 : 686,475 = 686,475 : x
  2. Step 2: Convert to fraction form
    492,714/686,475 = 686,475/x
  3. Step 3: Cross multiply
    492,714x = 686,475 × 686,475
  4. Step 4: Simplify right side
    492,714x = 471,247,925,625
  5. Step 5: Solve for x
    x = 471,247,925,625/492,714
  6. Step 6: Final answer
    x = 956,432.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.