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Finding the Third Proportional to 260,947 and 556,066

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Solution

The third proportional to 260,947 and 556,066 is: 1,184,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,947 : 556,066 = 556,066 : x
  2. Step 2: Convert to fraction form
    260,947/556,066 = 556,066/x
  3. Step 3: Cross multiply
    260,947x = 556,066 × 556,066
  4. Step 4: Simplify right side
    260,947x = 309,209,396,356
  5. Step 5: Solve for x
    x = 309,209,396,356/260,947
  6. Step 6: Final answer
    x = 1,184,950.95

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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.