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Finding the Third Proportional to 260,159 and 527,495

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Solution

The third proportional to 260,159 and 527,495 is: 1,069,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,159 : 527,495 = 527,495 : x
  2. Step 2: Convert to fraction form
    260,159/527,495 = 527,495/x
  3. Step 3: Cross multiply
    260,159x = 527,495 × 527,495
  4. Step 4: Simplify right side
    260,159x = 278,250,975,025
  5. Step 5: Solve for x
    x = 278,250,975,025/260,159
  6. Step 6: Final answer
    x = 1,069,541.99

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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.