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Finding the Third Proportional to 260,817 and 553,618.50

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Solution

The third proportional to 260,817 and 553,618.50 is: 1,175,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,817 : 553,618.50 = 553,618.50 : x
  2. Step 2: Convert to fraction form
    260,817/553,618.50 = 553,618.50/x
  3. Step 3: Cross multiply
    260,817x = 553,618.50 × 553,618.50
  4. Step 4: Simplify right side
    260,817x = 306,493,443,542.25
  5. Step 5: Solve for x
    x = 306,493,443,542.25/260,817
  6. Step 6: Final answer
    x = 1,175,128.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.