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Finding the Third Proportional to 348,153 and 469,741

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Solution

The third proportional to 348,153 and 469,741 is: 633,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,153 : 469,741 = 469,741 : x
  2. Step 2: Convert to fraction form
    348,153/469,741 = 469,741/x
  3. Step 3: Cross multiply
    348,153x = 469,741 × 469,741
  4. Step 4: Simplify right side
    348,153x = 220,656,607,081
  5. Step 5: Solve for x
    x = 220,656,607,081/348,153
  6. Step 6: Final answer
    x = 633,792.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.