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Finding the Third Proportional to 424,692 and 619,506

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Solution

The third proportional to 424,692 and 619,506 is: 903,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,692 : 619,506 = 619,506 : x
  2. Step 2: Convert to fraction form
    424,692/619,506 = 619,506/x
  3. Step 3: Cross multiply
    424,692x = 619,506 × 619,506
  4. Step 4: Simplify right side
    424,692x = 383,787,684,036
  5. Step 5: Solve for x
    x = 383,787,684,036/424,692
  6. Step 6: Final answer
    x = 903,684.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.