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Finding the Third Proportional to 424,680 and 619,488

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Solution

The third proportional to 424,680 and 619,488 is: 903,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,680 : 619,488 = 619,488 : x
  2. Step 2: Convert to fraction form
    424,680/619,488 = 619,488/x
  3. Step 3: Cross multiply
    424,680x = 619,488 × 619,488
  4. Step 4: Simplify right side
    424,680x = 383,765,382,144
  5. Step 5: Solve for x
    x = 383,765,382,144/424,680
  6. Step 6: Final answer
    x = 903,657.77

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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.