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Finding the Third Proportional to 255,132 and 556,896

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Solution

The third proportional to 255,132 and 556,896 is: 1,215,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,132 : 556,896 = 556,896 : x
  2. Step 2: Convert to fraction form
    255,132/556,896 = 556,896/x
  3. Step 3: Cross multiply
    255,132x = 556,896 × 556,896
  4. Step 4: Simplify right side
    255,132x = 310,133,154,816
  5. Step 5: Solve for x
    x = 310,133,154,816/255,132
  6. Step 6: Final answer
    x = 1,215,579.21

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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.