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Finding the Third Proportional to 260,435.25 and 528,114.94

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Solution

The third proportional to 260,435.25 and 528,114.94 is: 1,070,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,435.25 : 528,114.94 = 528,114.94 : x
  2. Step 2: Convert to fraction form
    260,435.25/528,114.94 = 528,114.94/x
  3. Step 3: Cross multiply
    260,435.25x = 528,114.94 × 528,114.94
  4. Step 4: Simplify right side
    260,435.25x = 278,905,387,210.63
  5. Step 5: Solve for x
    x = 278,905,387,210.63/260,435.25
  6. Step 6: Final answer
    x = 1,070,920.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.