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Finding the Third Proportional to 255,124 and 556,880

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Solution

The third proportional to 255,124 and 556,880 is: 1,215,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,124 : 556,880 = 556,880 : x
  2. Step 2: Convert to fraction form
    255,124/556,880 = 556,880/x
  3. Step 3: Cross multiply
    255,124x = 556,880 × 556,880
  4. Step 4: Simplify right side
    255,124x = 310,115,334,400
  5. Step 5: Solve for x
    x = 310,115,334,400/255,124
  6. Step 6: Final answer
    x = 1,215,547.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.