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Finding the Third Proportional to 452,070 and 613,962

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Solution

The third proportional to 452,070 and 613,962 is: 833,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,070 : 613,962 = 613,962 : x
  2. Step 2: Convert to fraction form
    452,070/613,962 = 613,962/x
  3. Step 3: Cross multiply
    452,070x = 613,962 × 613,962
  4. Step 4: Simplify right side
    452,070x = 376,949,337,444
  5. Step 5: Solve for x
    x = 376,949,337,444/452,070
  6. Step 6: Final answer
    x = 833,829.58

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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.