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Finding the Third Proportional to 255,148 and 556,916

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Solution

The third proportional to 255,148 and 556,916 is: 1,215,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,148 : 556,916 = 556,916 : x
  2. Step 2: Convert to fraction form
    255,148/556,916 = 556,916/x
  3. Step 3: Cross multiply
    255,148x = 556,916 × 556,916
  4. Step 4: Simplify right side
    255,148x = 310,155,431,056
  5. Step 5: Solve for x
    x = 310,155,431,056/255,148
  6. Step 6: Final answer
    x = 1,215,590.29

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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.