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Finding the Third Proportional to 218,672 and 473,616

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Solution

The third proportional to 218,672 and 473,616 is: 1,025,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,672 : 473,616 = 473,616 : x
  2. Step 2: Convert to fraction form
    218,672/473,616 = 473,616/x
  3. Step 3: Cross multiply
    218,672x = 473,616 × 473,616
  4. Step 4: Simplify right side
    218,672x = 224,312,115,456
  5. Step 5: Solve for x
    x = 224,312,115,456/218,672
  6. Step 6: Final answer
    x = 1,025,792.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.