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Finding the Third Proportional to 453,869 and 616,705

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Solution

The third proportional to 453,869 and 616,705 is: 837,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,869 : 616,705 = 616,705 : x
  2. Step 2: Convert to fraction form
    453,869/616,705 = 616,705/x
  3. Step 3: Cross multiply
    453,869x = 616,705 × 616,705
  4. Step 4: Simplify right side
    453,869x = 380,325,057,025
  5. Step 5: Solve for x
    x = 380,325,057,025/453,869
  6. Step 6: Final answer
    x = 837,962.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.