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Finding the Third Proportional to 255,109.50 and 556,844.63

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Solution

The third proportional to 255,109.50 and 556,844.63 is: 1,215,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,109.50 : 556,844.63 = 556,844.63 : x
  2. Step 2: Convert to fraction form
    255,109.50/556,844.63 = 556,844.63/x
  3. Step 3: Cross multiply
    255,109.50x = 556,844.63 × 556,844.63
  4. Step 4: Simplify right side
    255,109.50x = 310,075,936,391.39
  5. Step 5: Solve for x
    x = 310,075,936,391.39/255,109.50
  6. Step 6: Final answer
    x = 1,215,462.13

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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.