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Finding the Third Proportional to 492,728 and 686,495

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Solution

The third proportional to 492,728 and 686,495 is: 956,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,728 : 686,495 = 686,495 : x
  2. Step 2: Convert to fraction form
    492,728/686,495 = 686,495/x
  3. Step 3: Cross multiply
    492,728x = 686,495 × 686,495
  4. Step 4: Simplify right side
    492,728x = 471,275,385,025
  5. Step 5: Solve for x
    x = 471,275,385,025/492,728
  6. Step 6: Final answer
    x = 956,461.55

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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.