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Finding the Third Proportional to 510,320.25 and 1,085,157

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Solution

The third proportional to 510,320.25 and 1,085,157 is: 2,307,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,320.25 : 1,085,157 = 1,085,157 : x
  2. Step 2: Convert to fraction form
    510,320.25/1,085,157 = 1,085,157/x
  3. Step 3: Cross multiply
    510,320.25x = 1,085,157 × 1,085,157
  4. Step 4: Simplify right side
    510,320.25x = 1,177,565,714,649
  5. Step 5: Solve for x
    x = 1,177,565,714,649/510,320.25
  6. Step 6: Final answer
    x = 2,307,503.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.