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Finding the Third Proportional to 424,134.75 and 877,792.50

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Solution

The third proportional to 424,134.75 and 877,792.50 is: 1,816,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,134.75 : 877,792.50 = 877,792.50 : x
  2. Step 2: Convert to fraction form
    424,134.75/877,792.50 = 877,792.50/x
  3. Step 3: Cross multiply
    424,134.75x = 877,792.50 × 877,792.50
  4. Step 4: Simplify right side
    424,134.75x = 770,519,673,056.25
  5. Step 5: Solve for x
    x = 770,519,673,056.25/424,134.75
  6. Step 6: Final answer
    x = 1,816,686.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.