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Finding the Third Proportional to 325,377 and 500,434.88

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Solution

The third proportional to 325,377 and 500,434.88 is: 769,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,377 : 500,434.88 = 500,434.88 : x
  2. Step 2: Convert to fraction form
    325,377/500,434.88 = 500,434.88/x
  3. Step 3: Cross multiply
    325,377x = 500,434.88 × 500,434.88
  4. Step 4: Simplify right side
    325,377x = 250,435,064,116.27
  5. Step 5: Solve for x
    x = 250,435,064,116.27/325,377
  6. Step 6: Final answer
    x = 769,676.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.