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Finding the Third Proportional to 422,907 and 618,484.50

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Solution

The third proportional to 422,907 and 618,484.50 is: 904,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,907 : 618,484.50 = 618,484.50 : x
  2. Step 2: Convert to fraction form
    422,907/618,484.50 = 618,484.50/x
  3. Step 3: Cross multiply
    422,907x = 618,484.50 × 618,484.50
  4. Step 4: Simplify right side
    422,907x = 382,523,076,740.25
  5. Step 5: Solve for x
    x = 382,523,076,740.25/422,907
  6. Step 6: Final answer
    x = 904,508.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.