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Finding the Third Proportional to 529,756 and 1,160,284.25

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Solution

The third proportional to 529,756 and 1,160,284.25 is: 2,541,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,756 : 1,160,284.25 = 1,160,284.25 : x
  2. Step 2: Convert to fraction form
    529,756/1,160,284.25 = 1,160,284.25/x
  3. Step 3: Cross multiply
    529,756x = 1,160,284.25 × 1,160,284.25
  4. Step 4: Simplify right side
    529,756x = 1,346,259,540,798.06
  5. Step 5: Solve for x
    x = 1,346,259,540,798.06/529,756
  6. Step 6: Final answer
    x = 2,541,282.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.