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Finding the Third Proportional to 260,437 and 528,119

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Solution

The third proportional to 260,437 and 528,119 is: 1,070,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,437 : 528,119 = 528,119 : x
  2. Step 2: Convert to fraction form
    260,437/528,119 = 528,119/x
  3. Step 3: Cross multiply
    260,437x = 528,119 × 528,119
  4. Step 4: Simplify right side
    260,437x = 278,909,678,161
  5. Step 5: Solve for x
    x = 278,909,678,161/260,437
  6. Step 6: Final answer
    x = 1,070,929.55

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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.