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Finding the Third Proportional to 260,827.50 and 556,101

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Solution

The third proportional to 260,827.50 and 556,101 is: 1,185,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,827.50 : 556,101 = 556,101 : x
  2. Step 2: Convert to fraction form
    260,827.50/556,101 = 556,101/x
  3. Step 3: Cross multiply
    260,827.50x = 556,101 × 556,101
  4. Step 4: Simplify right side
    260,827.50x = 309,248,322,201
  5. Step 5: Solve for x
    x = 309,248,322,201/260,827.50
  6. Step 6: Final answer
    x = 1,185,643.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.