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Finding the Third Proportional to 260,440 and 528,118

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Solution

The third proportional to 260,440 and 528,118 is: 1,070,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,440 : 528,118 = 528,118 : x
  2. Step 2: Convert to fraction form
    260,440/528,118 = 528,118/x
  3. Step 3: Cross multiply
    260,440x = 528,118 × 528,118
  4. Step 4: Simplify right side
    260,440x = 278,908,621,924
  5. Step 5: Solve for x
    x = 278,908,621,924/260,440
  6. Step 6: Final answer
    x = 1,070,913.15

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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.