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Finding the Third Proportional to 255,064 and 556,754

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Solution

The third proportional to 255,064 and 556,754 is: 1,215,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,064 : 556,754 = 556,754 : x
  2. Step 2: Convert to fraction form
    255,064/556,754 = 556,754/x
  3. Step 3: Cross multiply
    255,064x = 556,754 × 556,754
  4. Step 4: Simplify right side
    255,064x = 309,975,016,516
  5. Step 5: Solve for x
    x = 309,975,016,516/255,064
  6. Step 6: Final answer
    x = 1,215,283.29

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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.